Linear Inequalities - JSS2 Mathematics Past Questions and Answers - page 1
Solve the inequality 3𝑥−4>2. What is the value of 𝑥?
𝑥>2
𝑥>1
𝑥<1
𝑥≥1
Which of the following represents the solution to the inequality 𝑥+5≤8?
𝑥≤2
𝑥<2
𝑥≥3
𝑥>3
If 2𝑥−1≥7, which of the following is true?
𝑥≤3
𝑥≥4
𝑥>3
𝑥<4
Graphically, how would you represent 𝑥<5 on a number line?
Closed circle at 5, shading to the left
Open circle at 5, shading to the left
Closed circle at 5, shading to the right
Open circle at 5, shading to the right
What is the solution to the inequality −3𝑥+6≤9?
𝑥≥−1
𝑥≤−1
𝑥≤1
𝑥≥1
A company needs to produce at least 150 units but no more than 400 units of a product each day. Which inequality represents this situation?
150<𝑥<400
150≤𝑥≤400
150≥𝑥≥400
150≤𝑥<400
Solving and Graphing 3𝑥−4>2
Start with the inequality:3𝑥−4>2
- Add 4 to both sides: 3𝑥>6
- Divide both sides by 3: 𝑥>2
Graphical Representation:
- Draw a number line.
- Place an open circle at 𝑥=2 (because 2 is not included).
- Shade the region to the right of 2.
Solving and Graphing 𝑥+5≤8
Start with the inequality:
𝑥+5≤8
Subtract 5 from both sides:
𝑥≤3
Graphical Representation:
- Draw a number line.
- Place a closed circle at 𝑥=3 (because 3 is included).
- Shade the region to the left of 3.
Solving and Graphing 2𝑥−1≥7
Start with the inequality: 2𝑥−1≥7
Add 1 to both sides: 2𝑥≥8
Divide both sides by 2:
𝑥≥4
Graphical Representation:
- Draw a number line.
- Place a closed circle at 𝑥=4 (because 4 is included).
- Shade the region to the right of 4.
Solving and Graphing −3𝑥+6≤9
Start with the inequality:
−3𝑥+6≤9
Subtract 6 from both sides:
−3𝑥≤3
Divide both sides by -3 and reverse the inequality:
𝑥≥−1
Graphical Representation:
- Draw a number line.
- Place a closed circle at 𝑥=−1(because -1 is included).
- Shade the region to the right of -1.