Answer:
y - 8 + 2 ≤ -2 + 2 = y - 8 ≤ -2
Step-by-step explanation:
y - 8 ≤ -2 + 8
Looking at the first couple options we see that the inequality signs aren't the same as the one shown in our given inequality; ≤. Since we didn't do any dividing or multiplying with negative numbers, there should be no reason to change the inequality sign.
This leaves us with the last two equations. However, with the third option, they add 2 to only one side and 8 to one side. It's a known rule that whatever we do to one side of an equation or inequality we must do to the other side. The equation y - 8 + 2 ≤ -2 + 8 doesn't abide by this rule. However, the inequality: y - 8 + 2 ≤ -2 + 2 does.
Both inequalities are equivalent.
y - 8 + 2 ≤ -2 + 2 = y - 8 ≤ -2
