Algebra Examples

$- 0.002 \leq x - 3 \leq 0.002$

Step 1

Move all terms not containing $x$ from the center section of the inequality.

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Step 1.1

Add $3$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 0.002 + 3 \leq x \leq 0.002 + 3$

Step 1.2

Add $- 0.002$ and $3$ .

$2.998 \leq x \leq 0.002 + 3$

Step 1.3

Add $0.002$ and $3$ .

$2.998 \leq x \leq 3.002$

Step 2

Use the inequality $2.998 \leq x \leq 3.002$ to build the set notation.

${x | 2.998 \leq x \leq 3.002}$

Step 3