Find the solution for the inequality:
\[ |2x + 3| < 5 \]

absolute value means that anything inside the absolute value box will be made positve so
|3-5|=2 because 3-5=-2 but absolute value menas that it is turned positve
if you want to find the solutions to 2x+3<5 then subtract 3 from both sides 2x<2 divide both sides by 2 x<1 I hope i'm thinking right that the solution must be positive because of abolute value so solution is all number between 0 and 1 not including 0 and 1

Answered by apologiabiology | 2024-06-10

the absolute value is x<1 because first you subtract 3 from both sides and then divide both side by 2 which gives you the answer.

Answered by thomo13245 | 2024-06-10

To solve the inequality ∣2 x + 3∣ < 5 , we split it into two inequalities: − 5 < 2 x + 3 < 5 . Solving these results in − 4 < x < 1 , which is expressed in interval notation as ( − 4 , 1 ) .
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Answered by apologiabiology | 2024-12-26