Question

8 < -3x + 10

greater than sign meaning greater than or equal to!

Answer 1

`8\leq-3x+10\qquad\text{add 3x to both sides}\\\\8+3x\leq10\qquad\text{subtract 8 from both sides}\\\\3x\leq2\qquad\text{divide both sides by 3}\\\\x\leq(2)/(3)`

Answer 2

2/3 >=x

Explanation:

8 =< -3x + 10

subtract 10 from each side

8-10 <= -3x+10-10

-2 <=-3x

divide by -3 (remember to flip the inequality)

-2/-3 >= -3x/-3

2/3 >=x