Question

Solve the inequality


`(1)/(3) x \: + 1 \geqslant (1)/(2) x + (1)/(4) (2 - x)`
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Answer 1

x >= -6

Explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D