Algebra Examples

$f - 6 < 5$ and $f - 4 \geq 2$

Step 1

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

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Step 1.1

Add $6$ to both sides of the inequality.

$f < 5 + 6$ and $f - 4 \geq 2$

Step 1.2

Add $5$ and $6$ .

$f < 11$ and $f - 4 \geq 2$

Step 2

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

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Step 2.1

Add $4$ to both sides of the inequality.

$f < 11$ and $f \geq 2 + 4$

Step 2.2

Add $2$ and $4$ .

$f < 11$ and $f \geq 6$

Step 3

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

$6 \leq f < 11$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$6 \leq f < 11$

Interval Notation:

$[6, 11)$

Step 5