Find the solution to:
Solve: 0.9x+9<_1.7x-8
0.9x+9 ≤ 1.7x-8
Isolate variable x on the left, and constants on the right:
0.9x - 1.7x ≤ -8 -9
-0.8x ≤ -17
divide each side by -0.8 (and change the direction of the inequality)
x ≥ 17/0.8
x ≥ 21.25
To solve the inequality 0.9x + 9 ≤ 1.7x - 8, we need to isolate the variable x.
Step 1: Collect like terms on both sides of the inequality:
0.9x - 1.7x ≤ -8 - 9
-0.8x ≤ -17
Step 2: Divide both sides by -0.8. Since we're dividing by a negative number, we need to reverse the inequality symbol:
x ≥ -17 / -0.8
x ≥ 21.25
So, the solution to the inequality is x ≥ 21.25.