0.9x + 9 greater than 1.3x-6 please solve
oops I meant less than
> = greater than
< = less than
.9x + 9 < 1.3x - 6
Subtract 1.3x and 9 from both sides.
-.4x < -15
Divide by -.4, which reverses the carat.
x > 15/.4
x > 37.5
To solve the inequality 0.9x + 9 > 1.3x - 6, you can follow these steps:
Step 1: Simplify both sides of the inequality by combining like terms.
Start by subtracting 0.9x from both sides:
0.9x + 9 - 0.9x > 1.3x - 6 - 0.9x
9 > 0.4x - 6
Step 2: Move the constant term (-6) to the other side of the inequality by adding 6 to both sides:
9 + 6 > 0.4x - 6 + 6
15 > 0.4x
Step 3: Divide both sides of the inequality by 0.4 to solve for x. Remember to reverse the inequality sign when dividing by a negative number:
15/0.4 < 0.4x/0.4
37.5 < x
So the solution to the inequality is x > 37.5.