Worked examples
Two examples
Example 1
Solve: 2x + 5 ≤ 17
- Undo the adding: 2x ≤ 12.
- Divide by 2: the sign stays.
Answer: x ≤ 6
Example 2
Solve: −2x + 3 > 11
- Undo the adding: −2x > 8.
- Divide by −2, and flip the sign.
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.