in the expression shown, q represents a rational number 11q. 11q What value of q makes the expression equal a number greater than 11?
A. 1 1/4
B. 4/4
C. 12/13
D. 17/19
To find the value of q that makes the expression 11q greater than 11, we need to solve the inequality:
11q > 11
Divide both sides of the inequality by 11:
q > 1
Now, let's check the given answer choices:
A. 1 1/4 = 5/4 = 1.25 - This makes the expression 11(1.25) = 13.75, which is greater than 11. So, A is the correct answer.
B. 4/4 = 1 - This makes the expression 11(1) = 11, which is not greater than 11.
C. 12/13 ~ 0.923 - This makes the expression 11(12/13) = 132/13 ~ 10.154, which is not greater than 11.
D. 17/19 ~ 0.895 - This makes the expression 11(17/19) = 187/19 ~ 9.842, which is not greater than 11.
Therefore, the correct answer is A. 1 1/4.