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