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

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

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

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

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.