Question

Which inequality is equivalent to this one? y minus 8 less-than-or-equal-to negative 2 y minus 8 + 8 greater-than-or-equal-to negative 2 + 8 y minus 8 + 8 less-than negative 2 + 8 y minus 8 + 2 less-than-or-equal-to negative 2 + 8 y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Answer 1

Answer:

d. y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Step-by-step explanation:

Which inequality is equivalent to this one?

y minus 8 less-than-or-equal-to negative 2

y minus 8 + 8 greater-than-or-equal-to negative 2 + 8

y minus 8 + 8 less-than negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Take the last option:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

remove the +2 on each side to get

y minus 8 less-than-or-equal-to negative 2

Answer 2

Answer:

$\boxed{y - 8 + 2\leq - 2 + 2}$

Step-by-step explanation:

Which inequality is equivalent to this one:

$y - 8 \leq - 2$

$y - 8 + 8\geq - 2 + 8$

$y - 8 + 8< - 2 + 8$

$y - 8 + 2 \leq - 2 + 8$

$y - 8 + 2\leq - 2 + 2$

Let’s take the last inequality.

$y - 8 + 2\leq - 2 + 2$

Subtract 2 on both sides.

$y - 8 + 2-2\leq - 2 + 2-2$

$y - 8 \leq - 2$

The inequality is equivalent.