Algebra Examples

x \geq 1

$x \geq 1$ ,

x - 1 < 7

$x - 1 < 7$

Step 1

Move all terms not containing

x

$x$ to the right side of the inequality.

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Step 1.1

Add

1

$1$ to both sides of the inequality.

x \geq 1

$x \geq 1$ and

x < 7 + 1

$x < 7 + 1$

Step 1.2

Add

7

$7$ and

1

$1$ .

x \geq 1

$x \geq 1$ and

x < 8

$x < 8$

x \geq 1

$x \geq 1$ and

x < 8

$x < 8$

Step 2

The intersection consists of the elements that are contained in both intervals.

1 \leq x < 8

$1 \leq x < 8$

Step 3

The result can be shown in multiple forms.

Inequality Form:

1 \leq x < 8

$1 \leq x < 8$

Interval Notation:

[1, 8)

$[1, 8)$

Step 4

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