Question

2.5 solve linear inequalities homework
score: 10/25 answered: 10/25
question 11
graph the solution to 10x - 4 > -24.
clear all draw:
question help: video written example
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Explanation:

Step1: Solve the inequality for \( x \)

Add 4 to both sides of \( 10x - 4 > -24 \):
\( 10x - 4 + 4 > -24 + 4 \)
Simplify: \( 10x > -20 \)

Step2: Divide both sides by 10

\( \frac{10x}{10} > \frac{-20}{10} \)
Simplify: \( x > -2 \)

To graph this, place an open circle at \( -2 \) (since \( x > -2 \), not \( x \geq -2 \)) and draw an arrow to the right (indicating all numbers greater than \( -2 \)).

Answer:

The solution is \( x > -2 \). On the number line, draw an open circle at \( -2 \) and an arrow pointing to the right.