Solve the linear inequality. Other than , use interval notation to express the solution set and graph the solution set on a number line.

Question

anonymous · Answer

$$\frac{ x }{ 6 }-\frac{ 2 }{ 3 }\le \frac{ x }{ 4 }+1$$

phi · Answer

you could multiply everything by 12 to make it
$$ 2x -8 ≤ 3x+12$$

now add -2x to both sides
add -12 to both sides

anonymous · Answer

ok i though so.

anonymous · Answer

wait how did you get 8

anonymous · Answer

nevermind

phi · Answer

I multiplied all the terms by 12 to get rid of the fractions
12* -2/3  = -24/3 = -8

anonymous · Answer

yeah got it. thanks -20<x

anonymous · Answer

do i change the inequality sign to >

phi · Answer

isn't it
-20 ≤ x

use a solid circle at -20, and draw an arrow pointing to the right (toward 0)

anonymous · Answer

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