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Solve for
x.

5x-4 >= 12quad" OR "quad12 x+5 <= -4

Solve for $x$ . $\newline$ $5 x-4 \geq 12 \quad \text { OR } \quad 12 x+5 \leq-4$

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Solve multi-step inequalities

Full solution

Q. Solve for

x

.

\newline

5 x-4 \geq 12 \quad \text { OR } \quad 12 x+5 \leq-4

Isolate variable term: Isolate the variable term in the first inequality $5x - 4 \geq 12$ .
$5x - 4 \geq 12$
$5x - 4 + 4 \geq 12 + 4$
$5x \geq 16$
Divide by $5$ : Divide both sides of the inequality by $5$ to solve for $x$ . $5x \geq 16$ $\frac{5x}{5} \geq \frac{16}{5}$ $x \geq \frac{16}{5}$
Solve second inequality: Now, solve the second inequality $12x + 5 \leq -4$ . $12x + 5 \leq -4$ $12x + 5 - 5 \leq -4 - 5$ $12x \leq -9$
Divide by $12$ : Divide both sides of the inequality by $12$ to solve for $x$ . $12x \leq -9$ $\frac{12x}{12} \leq \frac{-9}{12}$ $x \leq -\frac{3}{4}$

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