Question

Given: 5 > x + 7.

Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answer 1

$5\ \textgreater \ x+7$

Switch sides:

$x+7\ \textless \ 5$

Subtract 7 from both sides :

$x+7-7\ \textless \ 5-7$

$x\ \textless \ -2$

Answer B

{x | x R, x < -2}

hope this helps!