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]
