Question

which integers, when placed in the boxes shown below, make the inequality true? □ < -√60 < □ a 7 and 8 b 6 and 7 c -7 and -6 d -8 and -7

Explanation:

Step1: Find the range of $\sqrt{60}$

We know that $7^2=49$ and $8^2 = 64$. So, $7<\sqrt{60}<8$.

Step2: Multiply the inequality by - 1

When we multiply the inequality $7<\sqrt{60}<8$ by -1, the direction of the inequality signs changes. We get $-8<-\sqrt{60}<-7$.

Answer:

D. -8 and -7