Solve an inequality using subtraction EXAMPLE 4 Solve an inequality using subtraction Solve 9 x + 7. Graph your solution. > 9 ≥ x + 7 Write original inequality. 9 – 7 ≥ x + 7 – 7 Subtract 7 from each side. 2 ≥ x Simplify. ANSWER You can rewrite 2 ≥ x as x ≥ 2. The solutions are all real numbers less than or equal to 2.

7. Solve y + 5.5 > 6. Graph your solution. GUIDED PRACTICE for Examples 4 and 5 7. Solve y + 5.5 > 6. Graph your solution. SOLUTION y + 5.5 > 6 Write original inequality. y + 5.5 –5.5 > 6 –5.5 Subtract 5.5 from each side. y > 0.5 Simplify. ANSWER You can rewrite 0.5 < y as y > 0.5 . The solutions are all real numbers greater than or equal to 0.5 .

Solve an inequality using addition EXAMPLE 3 Solve an inequality using addition x – 5 > – 3.5. Graph your solution. Solve x – 5 > – 3.5 Write original inequality. x – 5 + 5 > – 3.5 + 5 Add 5 to each side. x > 1.5 Simplify. ANSWER The solutions are all real numbers greater than 1.5. Check by substituting a number greater than 1.5 for x in the original inequality.

Solve the inequality. Graph your solution. GUIDED PRACTICE for Example 3 Solve the inequality. Graph your solution. 4. x – 9 ≤ 3 SOLUTION x – 9 ≤ 3 Write original inequality. x – 9 + 9 ≤ 3 + 9 Add 9 to each side. x ≤ 12 Simplify. ANSWER The solutions are all real numbers less than 12. Check by substituting a number less than 12 for x in the original inequality.

GUIDED PRACTICE for Example 3 5. p – 9.2 < – 5 SOLUTION Write original inequality. p – 9.2 + 9.2 < – 5 + 9.2 Add 9.2 to each side. x < 4.2 Simplify. ANSWER The solutions are all real numbers less than 4.2. Check by substituting a number less than 4.2 for x in the original inequality.

The solutions are all real numbers less than GUIDED PRACTICE for Example 3 6. – 1 ≥ m – 1 2 – 1 ≥ m – 1 2 Write original inequality. – 1 + ≥ m + 1 2 Add to each side. 1 2 ≥ m 1 2 – Simplify. ANSWER The solutions are all real numbers less than . Check by substituting a number less than for x in the original inequality. 1 2 –