Question

12x+7<−11 OR 5x−8>40. Solve for the inequality

Answer 1

You would do 12×7=19 which means 19>-11 and for the second one it would be 5×-8=-3 so -3<40

Answer 2

Answer:

$(-\infty,-\frac{3}{2})\text{U}(\frac{48}{5},\infty)$

Step-by-step explanation:

We have been given a compound inequality $12x+740$. We are asked to solve the given inequality.

First of all, we will solve both parts of inequality separately and then we will combine the solution.

$12x+7$

$12x+7-7$

$12x$

$\frac{12x}{12}$

$x$

$x$

$5x-8>40$

$5x-8+8>40+8$

$5x>48$

$\frac{5x}{5}>\frac{48}{5}$

$x>\frac{48}{5}$

$x>9.6$

Therefore, the solution of the given compound inequality would be $x\frac{48}{5}$ that is $(-\infty,-\frac{3}{2})\text{U}(\frac{48}{5},\infty)$ in interval notation.