Algebra Examples

$- 1 - 6 x - 6 > - 11 - 7 x$

Step 1

Subtract $6$ from $- 1$ .

$- 6 x - 7 > - 11 - 7 x$

Step 2

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

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Step 2.1

Add $7 x$ to both sides of the inequality.

$- 6 x - 7 + 7 x > - 11$

Step 2.2

Add $- 6 x$ and $7 x$ .

$x - 7 > - 11$

Step 3

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

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Step 3.1

Add $7$ to both sides of the inequality.

$x > - 11 + 7$

Step 3.2

Add $- 11$ and $7$ .

$x > - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 4$

Interval Notation:

$(- 4, \infty)$