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Solve for $a$ . $\newline$ $-4 + 3a < -10$

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Solve two-step inequalities

Full solution

Q. Solve for

a

.

\newline

-4 + 3a < -10

Add $4$ to isolate variable: Add $4$ to both sides of the inequality to isolate the term with the variable $a$ . $\newline$ $-4 + 3a + 4 < -10 + 4$ $\newline$ This simplifies to: $\newline$ $3a < -6$
Divide by $3$ to solve: Divide both sides of the inequality by $3$ to solve for $a$ . $\frac{3a}{3} < \frac{-6}{3}$ This simplifies to: $a < -2$
Compare solution with prompt: Compare the solution $a < -2$ with the question prompt ＂Is $a > -2$ a solution to the inequality $-4 + 3a < -10$ ?＂ $\newline$ Since $a < -2$ is the opposite of $a > -2$ , the answer to the question prompt is no.

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