Question

-2x + 22 < 18

It is an inequality

Answer 1

Answer:

Solving for x;

-2x + 22 < 18

Get rid of constants:

-22          -22

-2x < -4

Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:

÷-2 ÷-2

x > 2

Answer 2

Answer:

$x > 2$

Step-by-step explanation:

$\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}$

Given:

-2x + 22 < 18

Solve:

$\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}$

$-2x+22-22 < 18-22$

$\mathrm{Simplify}$

$-2x < -4$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)$

$\mathrm{Simplify}$

$2x > 4$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2x}{2} > \frac{4}{2}$

$\mathrm{Simplify}$

$x > 2$

~Lenvy~