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Solve for $q$ . $\newline$ $-7 - (-1)q > -4$

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Solve multi-step inequalities

Full solution

Q. Solve for

q

.

\newline

-7 - (-1)q > -4

Isolate variable term: Isolate the variable term $-1q$ by adding $7$ to both sides of the inequality. $\newline$ $-7 - -1q + 7 > -4 + 7$ $\newline$ $-1q > 3$
Rewrite inequality: Since $-1q$ is the same as $-q$ , we can write the inequality as: $\newline$ $-q > 3$
Divide by $-1$ : To solve for $q$ , we need to divide both sides by $-1$ . Remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign. $\frac{-q}{-1} < \frac{3}{-1}$ $q < -3$

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