1. Solve the inequality 2x + 1 > 5.
Step 1: Subtract 1 from both sides: 2x > 4
Step 2: Divide both sides by 2: x > 2
The solution is x > 2.
2. Solve the inequality -3(x - 4) ≤ 9.
Step 1: Distribute the -3: -3x + 12 ≤ 9
Step 2: Subtract 12 from both sides: -3x ≤ -3
Step 3: Divide both sides by -3, remembering to flip the inequality sign: x ≥ 1
The solution is x ≥ 1.
3. Solve the inequality 5x + 2 ≤ 3x - 1.
Step 1: Subtract 3x from both sides: 2x + 2 ≤ -1
Step 2: Subtract 2 from both sides: 2x ≤ -3
Step 3: Divide both sides by 2: x ≤ -3/2
The solution is x ≤ -3/2.
inequalities apply sample work answers.
2 answers
please give the answers