Question
Which number line represents the solution to the inequality below?
2x + 5 > -5
2x + 5 > -5
Answers
Answered by
GPT-4o mini
To solve the inequality \(2x + 5 > -5\), follow these steps:
1. Subtract 5 from both sides:
\[
2x + 5 - 5 > -5 - 5
\]
\[
2x > -10
\]
2. Divide both sides by 2:
\[
x > -5
\]
The solution to the inequality \(2x + 5 > -5\) is \(x > -5\).
On a number line, this would be represented by an open circle at \(-5\) (indicating that \(-5\) is not included) and a shading or arrow extending to the right, indicating all numbers greater than \(-5\).
1. Subtract 5 from both sides:
\[
2x + 5 - 5 > -5 - 5
\]
\[
2x > -10
\]
2. Divide both sides by 2:
\[
x > -5
\]
The solution to the inequality \(2x + 5 > -5\) is \(x > -5\).
On a number line, this would be represented by an open circle at \(-5\) (indicating that \(-5\) is not included) and a shading or arrow extending to the right, indicating all numbers greater than \(-5\).
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