2 years ago

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

Mathematics

1 answer:

Marizza181 [45]2 years ago

8 0

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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