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Solve for $q$ . $\newline$ $7 \geq 3 - q$

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Solve two-step inequalities

Full solution

Q. Solve for

q

.

\newline

7 \geq 3 - q

Isolate $q$ in the inequality: Step $1$ : Start by isolating $q$ in the inequality $7 \geq 3 - q$ . Add $q$ to both sides to get $q + 7 \geq 3$ .
Solve for q: Step $2$ : Subtract $7$ from both sides to solve for q. $\newline$ $q \geq 3 - 7$ , $\newline$ $q \geq -4$ .
Verify the solution: Step $3$ : Check if the solution makes sense. $\newline$ Substitute $q = -4$ back into the original inequality to verify: $\newline$ $7 \geq 3 - (-4)$ , $\newline$ $7 \geq 7$ , which is true.

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