Question

an inequality is shown. solve the inequality and graph the solution on the number line. 5x + 15 ≤ 2x - 30

Explanation:

Step1: Move x - terms to one side

Subtract 2x from both sides: $5x - 2x+15\leq2x - 2x - 30$, which simplifies to $3x + 15\leq - 30$.

Step2: Move constant to the other side

Subtract 15 from both sides: $3x+15 - 15\leq - 30 - 15$, resulting in $3x\leq - 45$.

Step3: Solve for x

Divide both sides by 3: $\frac{3x}{3}\leq\frac{-45}{3}$, so $x\leq - 15$.

Answer:

The solution of the inequality is $x\leq - 15$. On the number - line, it is represented by a closed circle at - 15 and an arrow pointing to the left.