Question
Match the graph with its inequality.
- x ≤ 4
- x ≥ -4
- x < -4
- x < 4
Hint:
A mathematical representation of relationship between 2 or more variables or a variable and a constant wherein the relationship is not equal. i.e. greater than/ greater than or equal to/ less than/ less than or equal to. is known as inequality.
The correct answer is: x < -4
TO FIND-
Inequality that represents the given situation.
SOLUTION-
Let x be the variable that is represented on the given number line.
From the given graph, we observe that x assumes the following values-
x = -5, x = -6,...........................
Hence, x assumes values that are less than -4.
Hence, x < -4.
Final Answer:-
Option 'b' i.e. 'x < -4' is the correct answer to the given question.
Since portion for -4 is hollow i.e. not shaded, -4 is not included in the inequation. i.e. -4 is not a solution to the given inequality.
Hence, we take x < -4 and not x <= -4.
Related Questions to study
Javier and his twin sister both have the same science exam. Javier sleeps for 9 hours the night before the exam, and his sister sleeps for 6 hours. After they take the test, they both compare their test grades. Choose the independent variable.
Javier and his twin sister both have the same science exam. Javier sleeps for 9 hours the night before the exam, and his sister sleeps for 6 hours. After they take the test, they both compare their test grades. Choose the independent variable.
The symbol ≥ represents _____________
The symbol ≥ represents _____________
Match the graph with its inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
Match the graph with its inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
Match the graph with its inequality.
Since portion for 11 is shaded on the number line, 11 is included in the inequation. i.e. 11 is a solution to the given inequality.
Hence, we take 11 <= a and not 11 < a.
Match the graph with its inequality.
Since portion for 11 is shaded on the number line, 11 is included in the inequation. i.e. 11 is a solution to the given inequality.
Hence, we take 11 <= a and not 11 < a.
Match the graph with its inequality.
Since portion for -2 is hollow i.e. not shaded, -2 is not included in the inequation. i.e. -2 is not a solution to the given inequality.
Hence, we take x < -2 and not x <= -2.
Match the graph with its inequality.
Since portion for -2 is hollow i.e. not shaded, -2 is not included in the inequation. i.e. -2 is not a solution to the given inequality.
Hence, we take x < -2 and not x <= -2.
Identify the inequality statement for the following,
A person’s height, h, must be at least 48 inches tall to go on this ride.
Identify the inequality statement for the following,
A person’s height, h, must be at least 48 inches tall to go on this ride.
The following number line graph represents ________________ inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
The following number line graph represents ________________ inequality.
Since portion for 3 is shaded on the number line, 3 is included in the inequation. i.e. 3 is a solution to the given inequality.
Hence, we take x >= 3 and not x > 3.
