Question

Eight less a number is less than or equal to seventeen

Answer 1

n ≥ -9

Explanation:

Let n = the number

8 less than a number means "n – 8", but

8 less a number means "8 – n," so

8 – n ≤ 17 Subtract 8 from each side

-n ≤ 9 Multiply each side by -1

n ≥ -9

Note: When we multiply by a negative number, we must reverse the inequality.

Check:

Try n = -8.

8 – (-8) ≤ 17

8 + 8 ≤ 17

16 ≤ 17

True.