Answer:
x > 3
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