Question

Solve the following inequalities. Click Here for Help Video



2
x
<
25
2x<25



x
x





−
2
y
<
25
−2y<25



y
y





2
z
<
−
25
2z<−25



z
z

Answer 1

To solve the inequalities, we will isolate the variable on one side. Let's go through each inequality step by step.

1. **For the inequality:**
\( 2x < 25 \)
To solve for \( x \), we divide both sides by 2:
\[
x < \frac{25}{2}
\]
\[
x < 12.5
\]

2. **For the inequality:**
\( -2y < 25 \)
To solve for \( y \), we first divide both sides by -2. Remember that when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign reverses:
\[
y > \frac{25}{-2}
\]
\[
y > -12.5
\]

3. **For the inequality:**
\( 2z < -25 \)
To solve for \( z \), we divide both sides by 2:
\[
z < \frac{-25}{2}
\]
\[
z < -12.5
\]

### Summary of Solutions:
- \( x < 12.5 \)
- \( y > -12.5 \)
- \( z < -12.5 \)