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QUESTION IMAGE

solve the inequality. 8 + 10f > 14 - 2f solution: graph the solution.

Question

solve the inequality.
8 + 10f > 14 - 2f
solution:
graph the solution.

Explanation:

Step1: Add 2f to both sides

$8 + 10f+2f>14 - 2f+2f$
$8 + 12f>14$

Step2: Subtract 8 from both sides

$8 + 12f-8>14 - 8$
$12f>6$

Step3: Divide both sides by 12

$\frac{12f}{12}>\frac{6}{12}$
$f>\frac{1}{2}$

Answer:

$f>\frac{1}{2}$; The graph should have an open - circle at $\frac{1}{2}$ (since the inequality is strict, >) and an arrow pointing to the right.