Answer:
x ≤ 7.25
Step-by-step explanation:
1) [tex]3x + 4.5[/tex] ≤ [tex]5(x - 2)[/tex]
Distribute 5 through the parenthesis.
2) [tex]3x + 4.5[/tex] ≤ [tex]5x - 10[/tex]
Move the variable to the left side and change it's sign.
3) [tex]3x + 4.5 - 5x[/tex] ≤ [tex]- 10[/tex]
Move the constant to the right side and change it's sign.
4) [tex]3x - 5x[/tex] ≤ [tex]- 10- 4.5[/tex]
Subtract the like terms.
5) [tex]-2x[/tex] ≤ [tex]-14.5[/tex]
Divide both sides of the inequality by -2.
6) [tex]x[/tex] ≤ [tex]7.25[/tex]
