Solve for f. 7 + 2f ≥ 3 ______

Subtract 7: Subtract 7 from both sides of the inequality to isolate the term with f. 7 + 2f ≥ 3 2f ≥ 3 - 7 2f ≥ -4Divide by 2: Divide both sides of the inequality by 2 to solve for f. 2f/2 ≥ -4/2 f ≥ -2Check solution: Check the solution to ensure that it makes sense in the context of the original inequality. 7 + 2(-2) ≥ 3 7 - 4 ≥ 3 3 ≥ 3 This is true, so f ≥ -2 is a valid solution to the inequality.

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Solve for $f$ . $7 + 2f \geq 3$

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Math Problems

Grade 8

Solve two-step inequalities

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Q. Solve for

f

7 + 2f \geq 3

Subtract $7$ : Subtract $7$ from both sides of the inequality to isolate the term with $f$ . $\newline$ $7 + 2f \geq 3$ $\newline$ $2f \geq 3 - 7$ $\newline$ $2f \geq -4$
Divide by $2$ : Divide both sides of the inequality by $2$ to solve for $f$ . $\frac{2f}{2} \geq \frac{-4}{2}$ $f \geq -2$
Check solution: Check the solution to ensure that it makes sense in the context of the original inequality. $\newline$ $7 + 2(-2) \geq 3$ $\newline$ $7 - 4 \geq 3$ $\newline$ $3 \geq 3$ $\newline$ This is true, so $f \geq -2$ is a valid solution to the inequality.