Question
Justin charges RM11 to mow a small lawn and RM26 to mow a large lawn. He would like to make at least RM130. Write an inequality that describes the situation.
Let x = # of small lawns mowed and
Let y = # of large lawns mowed
- 11x + 26y ≥ 130
- 11x + 26y > 130
- 11x + 26y ≤ 130
- 11x + 26y < 130
Hint:
We have to write the linear inequality for this situation. Justin charges RM11 to mow a small lawn and RM26 to mow a large lawn and he would like to make at least RM130. Make them as variable and write the equation.
The correct answer is: 11x + 26y ≥ 130
Here we have to write the linear inequality.
Firstly , Justin would like to make at least RM130.
he charges RM11 to mow a small lawn and RM26 to mow a large lawn.
Let x= # of small lawn mowed and
let y = # of large lawn mowed
we can write,
11x + 26y ≥ 130 [ in inequality at least sign is ≥ ]
Therefore, the correct answer is 11x + 26y ≥130.
or,
Since Justin likes to make at least RM130, the inequality symbol will be “≤”
The inequality that matches with the given situation is 11x + 26y ≥ 130.
In this question, Here we have to write the standard form of linear inequality. Always remember in inequality at least sign is ≥. And make variable for that also.
Related Questions to study
The inequality, x ≤ 2, will make ________________ type of line.
In this question, we have to given inequality on graph and we have to find the which type of line it has. For that always remember, To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph.
The inequality, x ≤ 2, will make ________________ type of line.
In this question, we have to given inequality on graph and we have to find the which type of line it has. For that always remember, To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph.
Match this coordinate plane to its correct solution.
In this question , we have to find the best solution for graph in inequality. We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
Match this coordinate plane to its correct solution.
In this question , we have to find the best solution for graph in inequality. We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
Consider the function y ≤ 2x + 3, find the true statement.
In this question, we have given a function of y which is y ≤ 2x + 3 and with that we have to find about line. Always remember rule of inequality , We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
Consider the function y ≤ 2x + 3, find the true statement.
In this question, we have given a function of y which is y ≤ 2x + 3 and with that we have to find about line. Always remember rule of inequality , We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
Choose all the possible values of x where x < 8.
In this question, find the number which satisfy that x< 8. Match all the number and if all are true then it is correct answer.
Choose all the possible values of x where x < 8.
In this question, find the number which satisfy that x< 8. Match all the number and if all are true then it is correct answer.
Consider the function y < 5x + 10, which of the following is true?
In this question, we have given a function of y which is y < 5x +10 and with that we have to find about line. Always remember rule of inequality , We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
Consider the function y < 5x + 10, which of the following is true?
In this question, we have given a function of y which is y < 5x +10 and with that we have to find about line. Always remember rule of inequality , We know that If the inequality is < or > line is dashed or if there ≤ or ≥ then the line solid on the graph and if function is along x-axis so its goes horizontally and if function is along y-axis so its goes vertically.
Select the correct graph for the given inequality.
3) 
Select the correct graph for the given inequality.
3)
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.
In this question, Here we have to write the standard form of linear inequality. Always remember in inequality no more than symbol is ≤. And make variable for that also.
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.
In this question, Here we have to write the standard form of linear inequality. Always remember in inequality no more than symbol is ≤. And make variable for that also.
Select the correct graph for the inequality.
1) 
Select the correct graph for the inequality.
1)
Match this number line to its correct solution.
Match this number line to its correct solution.
The first step in finding the solution with elimination is _______________
7x + y = -9
-3x -y = 5
In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
The first step in finding the solution with elimination is _______________
7x + y = -9
-3x -y = 5
In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
Find the equivalent equation for the following.
-4x + 9y = -3
In this question, we have to find the equivalent equation . Equivalent means equals. Equivalent equations are algebraic equation that have identical solution or roots.
Find the equivalent equation for the following.
-4x + 9y = -3
In this question, we have to find the equivalent equation . Equivalent means equals. Equivalent equations are algebraic equation that have identical solution or roots.
The first step in finding the solution with elimination is ______________________
4x + 3y = 1
x - 3y = -11
In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
The first step in finding the solution with elimination is ______________________
4x + 3y = 1
x - 3y = -11
In this question, we have to find the first step but the equation is solved by the elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
Solve by elimination:
7x + y = -9
-3x - y = 5
In this question , we have give two linear equation and we have to solve it by elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
Solve by elimination:
7x + y = -9
-3x - y = 5
In this question , we have give two linear equation and we have to solve it by elimination method. In elimination method you have two equation. we have to multiply in both equation by number which is lowest common multiple for one of the variable. Then perform the addition or subtraction to eliminate the variable and substitute the that variable in equation and find the other equation.
Find the equivalent equation for the following.
12x - 15y = -25
In this question, we have to find the equivalent equation . Equivalent means equals. Equivalent equations are algebraic equation that have identical solution or roots.
Find the equivalent equation for the following.
12x - 15y = -25
In this question, we have to find the equivalent equation . Equivalent means equals. Equivalent equations are algebraic equation that have identical solution or roots.
Identify the variable that can be eliminated.
4x + 8y = 20
-4x + 2y = -30
In this question, we have to figure out the variable that can be eliminated . For that just solve the equation by elimination method and find out the variable which is eliminate.
Identify the variable that can be eliminated.
4x + 8y = 20
-4x + 2y = -30
In this question, we have to figure out the variable that can be eliminated . For that just solve the equation by elimination method and find out the variable which is eliminate.
