Algebra Examples

$5 x + 2 < 4 x - 3$

Step 1

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

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Step 1.1

Subtract $4 x$ from both sides of the inequality.

$5 x + 2 - 4 x < - 3$

Step 1.2

Subtract $4 x$ from $5 x$ .

$x + 2 < - 3$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the inequality.

$x < - 3 - 2$

Step 2.2

Subtract $2$ from $- 3$ .

$x < - 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 5$

Interval Notation:

$(- \infty, - 5)$