Question

Solve the linear inequality -17x+2<-10x-19

Answer 1

Answer:

x > 3

Step-by-step explanation:

-17x + 2 < -10x - 19

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.Subtract 2 from both sides.

-17x + 2 - 2 < -10x - 19 - 2

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.Simplify.

-17x < -10x - 21

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.Add 10x to both sides.

-17x + 10x < -10x - 21 + 10x

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.Simplify.

-7x < -21

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.Multiply both sides by -1 (reverse the inequality).

(-7x)(-1) > (-21)(-1)

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.Simplify.

7x > 21

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.Divide both sides by 7.

7x/7 > 21/7

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.Simplify.

x > 3