What property of inequality can justify the math in Step 2?%0D%0A%0D%0AStep 1:%0D%0A%0D%0A−6(3w−7)>−66 %0D%0A%0D%0A−18w+42>−66 %0D%0A%0D%0AStep 2:%0D%0A%0D%0A−18w+42−42>−66−42 %0D%0A%0D%0A−18w>−108 %0D%0A%0D%0AStep 3:%0D%0A%0D%0A−18w/−18>−108/−18 %0D%0A%0D%0Aw<6 %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AMultiplication Property of Inequality%0D%0AMultiplication Property of Inequality%0D%0A%0D%0ASubtraction Property of Inequality%0D%0ASubtraction Property of Inequality%0D%0A%0D%0AAddition Property of Inequality%0D%0AAddition Property of Inequality%0D%0A%0D%0ADivision Property of Inequality
1 answer
The property of inequality that justifies the math in Step 2 is the Subtraction Property of Inequality. This property states that if you subtract the same number (in this case, 42) from both sides of an inequality, the inequality remains valid. In Step 2, you correctly subtract 42 from both sides of the inequality, which leads to the simplification shown:
\[ -18w + 42 - 42 > -66 - 42 \]
This results in:
\[ -18w > -108 \]
So the answer is:
Subtraction Property of Inequality.
