Solve for X 2a+1<5

$2 a + 1 < 5$

Step 1

Move all terms not containing $a$ to the right side of the inequality.

Subtract $1$ from both sides of the inequality.

$2 a < 5 - 1$

Subtract $1$ from $5$ .

$2 a < 4$

Step 2

Divide each term in $2 a < 4$ by $2$ and simplify.

Divide each term in $2 a < 4$ by $2$ .

$\frac{2 a}{2} < \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} < \frac{4}{2}$

Divide $a$ by $1$ .

$a < \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$a < 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a < 2$

Interval Notation:

$(- \infty, 2)$