Question #f4f17

Feb 19, 2017

$x \le - \frac{28}{7}$

Explanation:

Multiply out the bracket giving:

$- 5 - 3 x \ge 20 + 4 x + 3$

$- 5 - 3 x \ge 23 + 4 x$

Add $\textcolor{red}{3 x}$ to both sides (removes it from the left)

$\textcolor{g r e e n}{- 5 - 3 x \textcolor{red}{+ 3 x} \ge 23 + 4 x \textcolor{red}{+ 3 x}}$

$- 5 + 0 \ge 23 + 7 x$

Subtract 23 from both sides (leaves $7 x$ on the right on its own)

$- 28 \ge 7 x$

Divide both side by 7

$- \frac{28}{7} \ge x$

Swap everything round the other way

$x \le - \frac{28}{7}$