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solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]


Sagot :

Answer:

x >= -6

Step-by-step 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