Solve the inequality. Collect the xs on the left side. Write the solution set in interval notation:?

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Solve the inequality. Collect the xs on the left side. Write the solution set in interval notation:?

(-1/3)x < 5 + (2/3)x

2006-09-10 17:03:02 · 2 answers · asked by prettygirl7641 1 in Science & Mathematics ➔ Mathematics

2 answers

First get rid of the denominators by multiplying everything by 3
-x < 15 + 2x
Subtract 2x from each side
-3x < 15
Divide both sides by 3 (remember to flip the inequality sign when multiplying or dividing by a negative)
x > -5
Answer: (-5, infinity)

2006-09-10 17:05:15 · answer #1 · answered by MsMath 7 · 0⤊ 0⤋

(-1/3)x < 5 + (2/3)x

multiply everything by 3

-x < 15 + 2x
-3x < 15
x > -5

ANS : (-5,+infinity)

2006-09-10 18:57:15 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋