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2x-2<-12 or 2x+3>7 =

a. x < -7 or x > 5
b. x < -5 or x > 5
c. x < -5 or x > 2
d. x < -12 or x > 2

1 Answer

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2x - 2 < -12
2x < -12 + 2 add 2 to each side
2x < -10 perform the addition on the right side
x < -10 / 2 divide each side by 2
x < -5 perform the division on the right side

2x + 3 > 7
2x > 7 - 3 subtract 3 from each side
2x > 4 perform the subtraction on the right side
x > 4 / 2 divide each side by 2
x > 2 perform the division on the right side

These are just like equations, except the you have to change the direction of the sign when you multiply or divide by a negative number

(C) x < -5 or x > 2
User Eric Yuan
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