2 answers:
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Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
<em>Distribute the -2 to 2x and 2. </em>
3. Simplify the left side: 6-4x>14
<em>Do 10-4 </em>
4. Subtract: -4x>8
<em>Subtract 6 from both sides to get x by itself</em>
5. Divide: x< -
<em>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.</em>
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14