SOLUTION: Represent the following inequality on a number line 1 3/4x-1<_ 3x-2<

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Question 1163613: Represent the following inequality on a number line
1 3/4x-1<_ 3x-2<_6(2/3x+2)
Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

I have to assume that in the expression "1 3/4x", the "1 3/4" is the coefficient of the x term; otherwise the inequality makes no sense.

NEVER use a mixed number as a coefficient in an equation. Convert it to an improper fraction. 1 3/4 = 7/4.

Use distribution on the last expression.

Separate the compound inequality into two parts and solve each.

(1)

-->
(2)

The solution set is x greater than or equal to -14 AND x greater than or equal to 4/5; that is equivalent to just x greater than or equal to 4/5.

You can draw the solution on a number line.

SOLUTION: Represent the following inequality on a number line 1 3/4x-1<_ 3x-2<_6(2/3x+2)