Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
Distribute the -2 to 2x and 2.
3. Simplify the left side: 6-4x>14
Do 10-4
4. Subtract: -4x>8
Subtract 6 from both sides to get x by itself
5. Divide: x< -[tex]\frac{8}{4}[/tex]
You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
Hello! :)
−4x + 6 > 14 Simplify both sides
−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides
−4x > 8
-4x/-4 > 8/-4 Divide both sides by -4
x < -2 (ANSWER)
Hope this helped you!
THEDIPER
