Answer:
[tex] x < - \frac{11}{2} [/tex]
Step-by-step explanation:
Distribute 2 through the parentheses:
[tex]8x + 2 < 3(2x - 3)[/tex]
Distribute 3 through the parentheses:
[tex]8x + 2 < 6x - 9[/tex]
Move the variable to the left-hand side and change its sign:
[tex]8x + 2 - 6x < - 9[/tex]
Move the constant to the right-hand side and change its sign:
[tex]8x - 6x < - 9 - 2[/tex]
Collect like terms:
[tex]2x < - 9 - 2[/tex]
Calculate the difference:
[tex]2x < - 11[/tex]
Divide both sides of the inequality by 2:
[tex]x < - \frac{11}{2} [/tex]
