Add/Subtract Inequalities
Solve: x + 4 < 9
Answer: x < 5
Solve: 3x < 12
Answer: x < 4
Graph x ≤ 2 on a number line.
Answer: Closed circle at 2, arrow left
You must be at least 13 to join a website.
Answer: a ≥ 13
Solve: 4 + x > 10
Answer: x > 6
Solve: y − 7 ≥ 3
Answer: y ≥ 10
Solve: x ÷ 4 ≥ 3
Answer: x ≥ 12
Graph y > −1.
Answer: Open circle at −1, arrow right
A bus holds at most 50 passengers.
Answer: p ≤ 50
Solve: −3x ≤ 12
Answer: x ≥ −4
Solve: a + (−6) > 2
Answer: a > 8
Solve: −2x > 6
Answer: x < −3 (flip the inequality when dividing by a negative!)
Graph m ≥ 5.
Closed circle at 5, arrow right
A student must score higher than 70 to pass.
Answer: s > 70
Solve: 5x − 7 < 13
Answer: x < 4
Solve: n − (−3) ≤ 10
n ≤ 7
Solve: −5y ≤ 15
Answer: y ≥ −3
Graph t < −4.
Answer: Open circle at −4, arrow left
You need at least $25 for a concert ticket.
Answer: m ≥ 25
Solve and graph: −2x + 6 ≥ 10
Answer: −2x ≥ 4 → x ≤ −2
Solve and graph: p − 5 < −2
p < 3; open circle at 3, arrow left
Solve: 0.5n > 4
Answer: n > 8
Graph x ≥ −2 and x < 3.
Answer: Closed circle at −2, open circle at 3; line between
The temperature must stay below freezing (32°F).
Answer: t < 32
You have $100 and spend $15 per game. You must have at least $25 left.
Answer: 100 − 15g ≥ 25 → g ≤ 5