Question

solve for u. (\frac{7u - 2}{4} geq 3) or (5u + 13 leq 13) write your answer as a compound inequality with integers.

Explanation:

Step1: Solve first inequality: eliminate denominator

Multiply both sides by 4:
$$7u - 2 \geq 12$$

Step2: Isolate term with $u$

Add 2 to both sides:
$$7u \geq 14$$

Step3: Solve for $u$

Divide by 7:
$$u \geq 2$$

Step4: Solve second inequality: isolate term with $u$

Subtract 13 from both sides:
$$5u \leq 0$$

Step5: Solve for $u$

Divide by 5:
$$u \leq 0$$

Answer:

$u \leq 0$ or $u \geq 2$