study paths initial diagnostic: tx math bridge - stage 2 tx math br solving equations and inequalities progress: the movement of the progress bar may be uneven because questions can be worth more or solve for a. $\frac{a - 2}{3} a + 4$ $\circ$ $a -7$ $\circ$ $a \frac{5}{2}$ $\circ$ $a

Question

study paths initial diagnostic: tx math bridge - stage 2 tx math br solving equations and inequalities progress: the movement of the progress bar may be uneven because questions can be worth more or solve for a. $\frac{a - 2}{3} > a + 4$ $\circ$ $a > -7$ $\circ$ $a < -5$ $\circ$ $a > \frac{5}{2}$ $\circ$ $a < -7$ submit pass hold

Accepted Answer

# Answer: D. $a < -7$ # Explanation: ## Step1: Eliminate denominator Multiply both sides by 3: $a - 2 > 3(a + 4)$ ## Step2: Expand right side $a - 2 > 3a + 12$ ## Step3: Move terms with $a$ left Subtract $3a$ from both sides: $-2a - 2 > 12$ ## Step4: Isolate constant terms Add 2 to both sides: $-2a > 14$ ## Step5: Solve for $a$ Divide by -2 (reverse inequality): $a < -7$

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QUESTION IMAGE

Question

Explanation:

Step1: Eliminate denominator

Step2: Expand right side

Step3: Move terms with \(a\) left

Step4: Isolate constant terms

Step5: Solve for \(a\)

Answer: