Question

1 multiple choice 1 point 5(n + 10)=-10 + 2(n - 6) -20 -24 8 all real numbers 2 multiple choice 1 point x + 11 ≤ 23 x ≤ 12 x ≥ -34 x ≥ 23/11 x ≥ 12

Explanation:

Sub - question 1

Step1: Expand both sides

Expand $5(n + 10)$ to $5n+50$ and $2(n - 6)$ to $2n-12$. The equation becomes $5n + 50=-10+2n - 12$.

Step2: Combine like - terms

Combine the constant terms on the right - hand side: $-10-12=-22$. So the equation is $5n + 50=2n-22$.

Step3: Move the terms with $n$ to one side

Subtract $2n$ from both sides: $5n-2n + 50=2n-2n-22$, which simplifies to $3n+50=-22$.

Step4: Move the constant term to the other side

Subtract 50 from both sides: $3n+50 - 50=-22 - 50$, so $3n=-72$.

Step5: Solve for $n$

Divide both sides by 3: $n=\frac{-72}{3}=-24$.

Step1: Solve the inequality

Subtract 11 from both sides of the inequality $x + 11\leq23$. We get $x+11 - 11\leq23 - 11$.

Step2: Simplify

Simplify the right - hand side: $x\leq12$.

Answer:

-24

Sub - question 2