Algebra Examples

$3 x + 1 > 2 x - 5 > x - 7$

Step 1

Solve $3 x + 1 > 2 x - 5$ for $x$ .

Tap for more steps...

Step 1.1

Move all terms containing $x$ to the left side of the inequality.

Tap for more steps...

Step 1.1.1

Subtract $2 x$ from both sides of the inequality.

$3 x + 1 - 2 x > - 5$

Step 1.1.2

Subtract $2 x$ from $3 x$ .

$x + 1 > - 5$

Step 1.2

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

Tap for more steps...

Step 1.2.1

Subtract $1$ from both sides of the inequality.

$x > - 5 - 1$

Step 1.2.2

Subtract $1$ from $- 5$ .

$x > - 6$

Step 2

Solve $2 x - 5 > x - 7$ for $x$ .

Tap for more steps...

Step 2.1

Move all terms containing $x$ to the left side of the inequality.

Tap for more steps...

Step 2.1.1

Subtract $x$ from both sides of the inequality.

$2 x - 5 - x > - 7$

Step 2.1.2

Subtract $x$ from $2 x$ .

$x - 5 > - 7$

Step 2.2

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

Tap for more steps...

Step 2.2.1

Add $5$ to both sides of the inequality.

$x > - 7 + 5$

Step 2.2.2

Add $- 7$ and $5$ .

$x > - 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 2$

Interval Notation:

$(- 2, \infty)$

Step 4