Question
Pick the correct letter for:
x ≤ 7
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.
We shade the entire portion on the numberline that represents the possible outcomes of the given inequality.
The correct answer is:
GIVEN-
x <= 7
TO FIND-
Correct graphical representation of the given inequality.
SOLUTION-
From the given inequality, we observe that x assumes the following values-
x = 7, x = 6, x = 5, x = 4,............................................
∴ x assumes values that are less than or equal to 7.
Hence, we shade the entire region on the number line that is lesser than (to the left of 7) 7, including 7.
Final Answer:-
Option 'a' is the correct answer to the given question.
Related Questions to study
Identify the label for the independent variable.
Identify the label for the independent variable.
Match the graph with its inequality.
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.
Match the graph with its inequality.
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.
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.
