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Question

2 ( -w -8 ) + 9 > -17

 

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Answer 1

Expand parentheses: -2w-16+9>-17.

Separate variable from constant:

add 7 to each side: -2w>-10.

To remove minus sign first add 2w to each side: 0>-10+2w, then add 10 to each side: 10>2w.

Divide through by 2: 5>w which is the same as w<5.

CHECK: try w=4 in the original equation: 2(-4-8)+9=-24+9=-15, and -15 > -17. OK.

Also try w=5 which breaks the inequality: 2(-5-8)+9=-26+9=-17 and -17 is not greater than -17, so OK.