Question

Solve the following inequalities
2x<15


-2y<15

2x<-15

Answer 1

Let's solve each inequality separately.

1. **For the inequality \( 2x < 15 \):**

Divide both sides by 2:
\[
x < \frac{15}{2}
\]
Simplifying the right-hand side gives:
\[
x < 7.5
\]

2. **For the inequality \( -2y < 15 \):**

Divide both sides by -2. Remember that when you divide or multiply by a negative number, you must flip the inequality sign:
\[
y > \frac{15}{-2}
\]
Simplifying the right-hand side gives:
\[
y > -7.5
\]

3. **For the inequality \( 2x < -15 \):**

Divide both sides by 2:
\[
x < \frac{-15}{2}
\]
Simplifying the right-hand side gives:
\[
x < -7.5
\]

### Summary of Solutions:

1. \( x < 7.5 \)
2. \( y > -7.5 \)
3. \( x < -7.5 \)

These inequalities describe the ranges of values for \( x \) and \( y \).