Question

2.5 solve linear inequalities homework
score: 9/25 answered: 9/25
question 10
graph the solution to $2x - 5 \geq -17$.
number line image: -10 to 10, with clear all, draw: arrow, dot, open circle buttons
question help: video written example
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Explanation:

Step1: Solve the inequality for x

Start with the inequality \(2x - 5 \geq -17\). Add 5 to both sides:
\(2x - 5 + 5 \geq -17 + 5\)
Simplify: \(2x \geq -12\).

Step2: Divide by 2

Divide both sides by 2:
\(\frac{2x}{2} \geq \frac{-12}{2}\)
Simplify: \(x \geq -6\).

To graph this: On the number line, place a closed dot (since the inequality is "greater than or equal to") at \(-6\) and draw an arrow to the right (indicating all numbers greater than or equal to \(-6\)).

Answer:

The solution is \(x \geq -6\), graphed with a closed dot at \(-6\) and an arrow to the right.