Question

-3(2x + 2) < 10

and

2(4 - 2x) > 1

pre calculus

Answer 1

`\\ \tt\hookrightarrow -3(2x+2)<10`

`\\ \tt\hookrightarrow -6x-6<10`

`\\ \tt\hookrightarrow -6x<16`

`\\ \tt\hookrightarrow x>-16/6`

`\\ \tt\hookrightarrow x>-8/3`

And

`\\ \tt\hookrightarrow 2(4-2x)>1`

`\\ \tt\hookrightarrow 8-4x>1`

`\\ \tt\hookrightarrow -4x>-7`

`\\ \tt\hookrightarrow 4x<7`

`\\ \tt\hookrightarrow x<7/4`

So

`\\ \tt\hookrightarrow x\in \left((-8)/(3),(7)/(4)\right)`