solve for u.\n-6(-6 - 4u) ≤ 2(15u - 12)\nwrite your answer using a decimal, whole number, or fraction in…

solve for u.\n-6(-6 - 4u) ≤ 2(15u - 12)\nwrite your answer using a decimal, whole number, or fraction in lowest terms.

solve for u.\n-6(-6 - 4u) ≤ 2(15u - 12)\nwrite your answer using a decimal, whole number, or fraction in lowest terms.

Answer

Explanation:

Step1: Expand both sides

First, expand -6(-6 - 4u) and 2(15u - 12) using the distributive property (a(b + c)=ab+ac). (-6\times(-6)-6\times(-4u)\leq2\times15u - 2\times12), which simplifies to (36 + 24u\leq30u-24).

Step2: Move terms with u to one - side

Subtract 24u from both sides: (36+24u - 24u\leq30u-24 - 24u), resulting in (36\leq6u - 24).

Step3: Move constant to the other side

Add 24 to both sides: (36 + 24\leq6u-24 + 24), so (60\leq6u).

Step4: Solve for u

Divide both sides by 6: (\frac{60}{6}\leq\frac{6u}{6}), giving (u\geq10).

Answer:

(u\geq10)