Question

Solve the following inequalities. Click Here for Help Video



10
x
<
40
10x<40



x
x





−
10
y
<
40
−10y<40



y
y





10
z
<
−
40
10z<−40



z
z

Answer 1

Let's solve each of the inequalities step by step.

1. **For the first inequality:**
\[
10x < 40
\]
Divide both sides by 10:
\[
x < 4
\]

2. **For the second inequality:**
\[
-10y < 40
\]
Divide both sides by -10. Remember that when we divide by a negative number, we reverse the inequality sign:
\[
y > -4
\]

3. **For the third inequality:**
\[
10z < -40
\]
Divide both sides by 10:
\[
z < -4
\]

**Final solutions:**
- \( x < 4 \)
- \( y > -4 \)
- \( z < -4 \)