Compound inequalities: "and" and "or"
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Ari solves 3 < 2x + 1 < 11 on paper. What is the answer, written like 2 < x < 9 with the smaller number first?
Esme solves 5 < x + 2 ≤ 9 in a math notebook. What is the answer, written like 2 < x < 9 with the smaller number first?
Jun solves 2 ≤ 4x - 6 ≤ 14 on paper. What is the answer, written like 2 < x < 9 with the smaller number first?
Kira solves x + 3 < 1 or 2x > 10 on paper. What is the answer, written like x < 1 or x > 6 with the left piece first?
Noah solves 2x ≤ -8 or x + 4 > 9 on paper. What is the answer, written like x < 1 or x > 6 with the left piece first?
The greenhouse must stay at least 18 degrees and under 25 degrees. Pia writes an inequality for t. Which one is right?
- 18 ≤ t < 25
- 18 ≤ t ≤ 25
- 18 < t ≤ 25
- t ≥ 18 or t < 25
Swim practice is canceled when the water is colder than 16 degrees or warmer than 30 degrees. Tala writes an inequality for t. Which one is right?
- t < 16 and t > 30
- 16 < t < 30
- t ≤ 16 or t ≥ 30
- t < 16 or t > 30
Ari solves x > 5 and x < 2 on paper. Which answer is right?
- All real numbers
- No solution
- x > 5
- 2 < x < 5
Kira wants to graph -1 < x ≤ 3 on paper. Which graph is right?
- Open circle at -1 shaded left, closed circle at 3 shaded right
- Closed circle at -1, open circle at 3, shaded between
- Open circle at -1, closed circle at 3, shaded between
- Open circles at -1 and 3, shaded between
Luz wants to graph x < -4 or x ≥ 3 with a pencil. Which graph is right?
- Open circle at -4, closed circle at 3, shaded between
- Closed circle at -4 shaded left, open circle at 3 shaded right
- Open circle at -4 shaded left, closed circle at 3 shaded right
- Closed circles at -4 and 3, shaded outward