Worked examples
Two examples
Example 1
Solve: x + 5 > 2
- Subtract 5 on both sides. Subtracting never flips the sign.
Answer: x > −3
Example 2
Solve: −3x ≤ 12
- Divide both sides by −3.
- Dividing by a negative number flips the sign: ≤ becomes ≥.
Answer: x ≥ −4
Where this is taught: Lines on the Grid, “Inequalities: the same steps, with one exception”
The drill
Ten problems
How many:
Type each answer like x > 4 or x <= -2 (≤ and ≥ are fine too). Then press Check my answers at the bottom.Write each answer on the line, like x > 4. The answer key, with the reasoning, is on the last page.