Question

Solve the inequality.
y - (-5) < 7

Answer 1

`y < 2`

Explanation:

`\begin{aligned}y-(-5)+(-5)&< 7+(-5)\\y& <7-5\\y&< 2\\\text{or}\\y-(-5) &= y+5\\\therefore\,y+5& <7\\y+5-5 &<7-5\\y&<2\end{aligned}`

Answer 2

y > 2

Explanation:

a double negative is basically a + sign, so its y + 5> 7, and we want Y alone so we subract 5 from 7 to get Y > 2