Solve the linear inequality
-17x+2<-10x-19
1 answer:
Answer:
x > 3
Step-by-step explanation:
-17x + 2 < -10x - 19
_____________
.Subtract 2 from both sides.
-17x + 2 - 2 < -10x - 19 - 2
____________________
.Simplify.
-17x < -10x - 21
__________________
.Add 10x to both sides.
-17x + 10x < -10x - 21 + 10x
____________________
.Simplify.
-7x < -21
_________________
.Multiply both sides by -1 (reverse the inequality).
(-7x)(-1) > (-21)(-1)
______________________
.Simplify.
7x > 21
_______________________
.Divide both sides by 7.
7x/7 > 21/7
_____________________
.Simplify.
x > 3
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