Let's simplify the inequality step by step:
Distribute the numbers outside the parentheses:4x - 2 - 24x + 3 >= 170 - 0.5(2x) + 2
Combine like terms:-20x + 1 >= 170 - x + 2
Add x to both sides of the inequality:-x - 20x + 1 >= 170 + 2
Combine like terms:-21x + 1 >= 172
Subtract 1 from both sides of the inequality:-21x >= 171
Divide by -21 (note: since we divide by a negative number, the direction of the inequality sign changes):x <= -171/21x <= -57/7
Therefore, the solution to the given inequality is x <= -57/7.
Let's simplify the inequality step by step:
Distribute the numbers outside the parentheses:
4x - 2 - 24x + 3 >= 170 - 0.5(2x) + 2
Combine like terms:
-20x + 1 >= 170 - x + 2
Add x to both sides of the inequality:
-x - 20x + 1 >= 170 + 2
Combine like terms:
-21x + 1 >= 172
Subtract 1 from both sides of the inequality:
-21x >= 171
Divide by -21 (note: since we divide by a negative number, the direction of the inequality sign changes):
x <= -171/21
x <= -57/7
Therefore, the solution to the given inequality is x <= -57/7.