Question

Write a compound inequality that represents the situation. all real numbers that are greater than –6 but less than 6

A. –6 < x < 6

B. –6 ≤ x ≤ 6

C. –6 < x ≤ 6

D. –6 ≤ x < 6

Answer 1

-6<x<6

Explanation:

all real numbers that are greater than –6 but less than 6

LEt x be the all real numbers

greater than -6 means -5,-4,-3,-2.........

less than 6 means ........3,4,5

Real number x lies between -6 and 6

If any x lies between two numbers then we use compound inequality

a<x<b

x lies between -6 and 6

so inequality becomes -6<x<6

Answer 2

A. –6 < x < 6

Since x is greater than -6 and less than 6, we use the > and < signs. The bigger value (6) comes to the right of x and the smaller to the left.