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Solve the following inequality.

[tex]\( 2x + 1 \ \textless \ 5 \)[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\(2x + 1 < 5\)[/tex], follow these steps:

1. Isolate the term with the variable: Start by removing the constant term from the left side of the inequality. To do this, subtract 1 from both sides:

[tex]\[ 2x + 1 - 1 < 5 - 1 \][/tex]

Simplifying both sides, we get:

[tex]\[ 2x < 4 \][/tex]

2. Solve for [tex]\(x\)[/tex]: Now, to isolate [tex]\(x\)[/tex], divide both sides of the inequality by 2:

[tex]\[ \frac{2x}{2} < \frac{4}{2} \][/tex]

Simplifying, we obtain:

[tex]\[ x < 2 \][/tex]

So, the solution to the inequality [tex]\(2x + 1 < 5\)[/tex] is:

[tex]\[ x < 2 \][/tex]
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