Question

solve the inequality and graph the solution on the line provided. $-2x + 73 \geq 77$ answer attempt 1 out of 2 $<$ $>$ $\leq$ $\geq$ or inequality notation: number line: submit answer

Explanation:

Step1: Subtract 73 from both sides

$$\begin{align*} -2x+73 - 73&\geq77 - 73\\ -2x&\geq4 \end{align*}$$

Step2: Divide both sides by - 2 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.

$$\begin{align*} \frac{-2x}{-2}&\leq\frac{4}{-2}\\ x&\leq - 2 \end{align*}$$

Answer:

Inequality Notation: \(x\leq - 2\)

For the number - line: Plot a closed circle at \(x = - 2\) (because the inequality is \(\leq\)) and shade to the left of \(x=-2\) (since \(x\) is less than or equal to - 2).