SOLUTION: Solve the inequality 21/15-3x<0 and express the solution as an interval. a. (5, &#8734;) b. (7, &#8734;) c. (–&#8734;,5) d. (–&#8734;, 7)

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Solve the inequality 21/15-3x<0 and express the solution as an interval. a. (5, &#8734;) b. (7, &#8734;) c. (–&#8734;,5) d. (–&#8734;, 7)      Log On

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Question 107484: Solve the inequality 21/15-3x<0 and express the solution as an
interval.
a. (5, ∞)
b. (7, ∞)
c. (–∞,5)
d. (–∞, 7)
Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
If 21%2F%2815-3x%29%3C0
then (15-3x)<0 since the numerator is positive.
15-3x%3C0
15-3x%2B3x%3C3xAdd 3x to both sides.
15%3C3x
15%2F3%3C3x%2F3Divide both sides by 3.
5%3Cx or
x%3E5
Check your answer.
Pick a number greater than 5. Let's pick 10.
The inequality should hold true since 10>5.
21%2F%2815-3x%29%3C0
21%2F%2815-3%2810%29%29%3C0
21%2F%2815-30%29%3C0
-21%2F15%3C0
True statement. Good answer.
a. (5, ∞)