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20 Jun 2022, 19:45
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Which of the following represents the solution set for the inequality \(\frac{3}{5}(x+\frac{2}{7})>-6\)
A) \(x>-\frac{72}{7}\)
B) \(x>-\frac{216}{35}\)
C) \(x>-\frac{136}{35}\)
D) \(x>-\frac{18}{7}\)
E) \(x>-\frac{72}{35}\)
A) \(x>-\frac{72}{7}\)
B) \(x>-\frac{216}{35}\)
C) \(x>-\frac{136}{35}\)
D) \(x>-\frac{18}{7}\)
E) \(x>-\frac{72}{35}\)
25 Jun 2022, 09:52
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ThatDudeKnows
\(\frac{3}{5}(x+\frac{2}{7})>-6\)
\((x+\frac{2}{7})>-6*\frac{5}{3}\)
\((x+\frac{2}{7})>-10\)
\(x>-10-\frac{2}{7}\)
\(x>-\frac{72}{7}\)
Option A
30 Oct 2022, 10:03
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We need to find Which of the following represents the solution set for the inequality \(\frac{3}{5}(x+\frac{2}{7})>-6\)
\(\frac{3}{5}(x+\frac{2}{7})>-6\)
=> \(\frac{3}{5}(\frac{7x+2}{7})>-6\)
=> \((\frac{7x+2}{7})>-6*\frac{5}{3}\)
=> 7x + 2 > -10*7
=> 7x > -70 - 2
=> x > \(\frac{-72}{7}\)
So, Answer will be A
Hope it helps!
Watch the following video to learn How to Solve Inequality Problems
\(\frac{3}{5}(x+\frac{2}{7})>-6\)
=> \(\frac{3}{5}(\frac{7x+2}{7})>-6\)
=> \((\frac{7x+2}{7})>-6*\frac{5}{3}\)
=> 7x + 2 > -10*7
=> 7x > -70 - 2
=> x > \(\frac{-72}{7}\)
So, Answer will be A
Hope it helps!
Watch the following video to learn How to Solve Inequality Problems
