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  • Solve the inequality and represent the solution graphically on number line. 5x + 1 > - 24, 5x - 1 < 24

Q: Solve the inequality and represent the solution graphically on number line.

5x + 1 > -24,\ 5x - 1 <24

Answers (1)

best_answer

Given : 5x + 1 > -24,\ 5x - 1 <24

5x + 1 > -24\, \, \, \, \, \, \, and\, \, \, \, \, \, \ 5x - 1 <24

\Rightarrow 5x > -24-1\, \, \, \, \, \, \, and\, \, \, \, \, \, \ 5x <24+1

\Rightarrow 5x > -25\, \, \, \, \, \, \, and\, \, \, \, \, \, \ 5x <25

\Rightarrow x > \frac{-25}{5}\, \, \, \, \, \, \, and\, \, \, \, \, \, \ x <\frac{25}{5}

\Rightarrow x > -5\, \, \, \, \, \, \, and\, \, \, \, \, \, \ x <5

  (-5,5)

The solution graphically on the number line is as shown :

 

 

Posted by

seema garhwal

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