Question
Solve the inequality and represent the solution graphically on number line: 5x + 1 > – 24, 5x – 1 < 24
✓
Answer
Given inequalities 5x + 1 > -24 and 5x – 1 < 24
5x + 1 > -24
$\Rightarrow$ 5x > -24 – 1
$\Rightarrow$ 5x > -25
$\Rightarrow$ x > -5 ………(I)
5x – 1 < 24
$\Rightarrow$ 5x < 24 + 1
$\Rightarrow$ 5x < 25
$\Rightarrow$ x < 5 ……….(II)
From (I) and (II) we conclude that the solution of given inequalities is (-5, 5).
5x + 1 > -24
$\Rightarrow$ 5x > -24 – 1
$\Rightarrow$ 5x > -25
$\Rightarrow$ x > -5 ………(I)
5x – 1 < 24
$\Rightarrow$ 5x < 24 + 1
$\Rightarrow$ 5x < 25
$\Rightarrow$ x < 5 ……….(II)
From (I) and (II) we conclude that the solution of given inequalities is (-5, 5).
solution set (-5,5)
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