Solving Linear Inequalities with Integer Coefficients

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SOLVING LINEAR INEQUALITIES WITH INTEGER COEFFICIENTS

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EXAMPLE:
Solve: 3-2x≤ 5x+1
Solution:
Write a nice, clean list of equivalent sentences:

3-2x≤ 5x+1	(original sentence)
3-7x≤ 1	(subtract 5x from both sides)
-7x≤- 2	(subtract 3 from both sides)
x≥2 7	(divide both sides by -7 ; change the direction of the inequality symbol)

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