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– 8–19x> – 15x+4> – 16–19x

User Kjfletch
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1 Answer

1 vote

Answer:

x > 6/17 and x > -5.

Explanation:

Inequality 1: -8 - 19x > -15x + 4

Inequality 2: -15x + 4 > -16 - 19x

Now, I had to solve each inequality separately:

Inequality 1:

-8 - 19x > -15x + 4

First, let's simplify both sides of the inequality by combining like terms:

-8 + 15x > 4 - 19x

Next, let's isolate the variable x by moving the x terms to one side and the constant terms to the other side:

15x + 19x > 4 + 8

This simplifies to:

34x > 12

Now, divide both sides of the inequality by 34:

x > 12/34

Simplifying further, we get:

x > 6/17

Inequality 2:

-15x + 4 > -16 - 19x

First, let's simplify both sides of the inequality by combining like terms:

-15x + 19x > -16 - 4

Next, let's isolate the variable x by moving the x terms to one side and the constant terms to the other side:

4x > -20

Now, divide both sides of the inequality by 4:

x > -20/4

Simplifying further, we get:

x > -5

Therefore, the solutions to the given inequality are:

x > 6/17 and x > -5.


I hope this helps! If this isn't what you need answered let me know

User Prnvbn
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