Find the solution to:
Solve: 0.9x+9<_1.7x-8
subtract 9
.9x<=1.7x-17
divide by .9
x<= 1.7x/9-17/9
subtract 1.7x/9 from each side
x(1-1.7/9)<=-17/9
x(1-.19)<=-17/9
divide both sides by .81 and you have it.
check my thinking.
0.9X + 9 <= 1.7X - 8.
0.9X - 1.7X <= -8 -9,
-0.8X <= -17,
Divide both sides by -0.8 and reverse
inequality sign:
X >= 21.25.
To solve the inequality 0.9x + 9 ≤ 1.7x - 8, we need to isolate the variable x on one side of the inequality symbol.
Step 1: Simplify both sides of the inequality:
0.9x + 9 ≤ 1.7x - 8
Step 2: Gather all the x terms on one side and the constant terms on the other side. Subtract 0.9x from both sides and add 8 to both sides:
9 + 8 ≤ 1.7x - 0.9x
Step 3: Simplify both sides of the inequality:
17 ≤ 0.8x
Step 4: Divide both sides of the inequality by 0.8 to solve for x:
17/0.8 ≤ x
Step 5: Simplify the right-hand side of the inequality:
21.25 ≤ x
Therefore, the solution to the inequality 0.9x + 9 ≤ 1.7x - 8 is x ≥ 21.25.