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3w-9 >= 5+5w
our answer in interval notation. Use decimal form for numerical values.

$3 w-9 \geq 5+5 w$ $\newline$ our answer in interval notation. Use decimal form for numerical values.

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Slope-intercept form: find the slope and y-intercept

Full solution

Q.

3 w-9 \geq 5+5 w

\newline

our answer in interval notation. Use decimal form for numerical values.

Isolate variable: Isolate the variable on one side of the inequality. $\newline$ Subtract $5w$ from both sides of the inequality to get all the $w$ terms on one side. $\newline$ $3w - 9 - 5w \geq 5 + 5w - 5w$ $\newline$ Simplify the inequality. $\newline$ $-2w - 9 \geq 5$
Simplify inequality: Isolate the variable term by adding $9$ to both sides of the inequality. $\newline$ $-2w - 9 + 9 \geq 5 + 9$ $\newline$ Simplify the inequality. $\newline$ $-2w \geq 14$
Solve for $w$ : Solve for $w$ by dividing both sides of the inequality by $-2$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $\frac{-2w}{-2} \leq \frac{14}{-2}$ $\newline$ Simplify the inequality. $\newline$ $w \leq -7$
Interval notation: Write the solution in interval notation. $\newline$ Since $w$ is less than or equal to $-7$ , the interval notation is (-\(\newline\infty, -7]\).

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