Linear Inequalities - JSS2 Mathematics Past Questions and Answers - page 1

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.

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.

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.

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.