Question
Solve the following inequality. Click Here for help Video
2
x
+
10
≤
−
3
2x+10 ≤−3
x
x
Answers
GPT-4o mini
To solve the inequality \( 2x + 10 \leq -3 \), follow these steps:
1. Subtract 10 from both sides:
\[
2x + 10 - 10 \leq -3 - 10
\]
This simplifies to:
\[
2x \leq -13
\]
2. Now, divide both sides by 2:
\[
x \leq -\frac{13}{2}
\]
So the solution to the inequality is:
\[
x \leq -6.5
\]
This means any value of \( x \) that is less than or equal to \(-6.5\) satisfies the inequality.
1. Subtract 10 from both sides:
\[
2x + 10 - 10 \leq -3 - 10
\]
This simplifies to:
\[
2x \leq -13
\]
2. Now, divide both sides by 2:
\[
x \leq -\frac{13}{2}
\]
So the solution to the inequality is:
\[
x \leq -6.5
\]
This means any value of \( x \) that is less than or equal to \(-6.5\) satisfies the inequality.