10 questions · Form 1 Mathematics Bab 7: Linear Inequalities
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Which of the following inequality symbols means 'at most'?
Answer: D
'At most' indicates a maximum threshold, which corresponds to the 'less than or equal to' symbol (≤).
2. If -5 < 3, what happens to the inequality sign when both sides are multiplied by -2?
Answer: B
Multiplying both sides by -2 gives (-5) x (-2) = 10 and 3 x (-2) = -6. Since 10 is greater than -6, the sign reverses: 10 > -6.
3. If x > y, which statement is TRUE according to the Converse Property of Inequalities?
Answer: A
The Converse Property states that if a > b, then b < a. Therefore, if x > y, then y < x.
4. Simplify: -4 < 2x ≤ 8
Answer: A
Divide all parts by 2: -42 < 2x2 ≤ 82 => -2 < x ≤ 4.
5. Find all integer values of x that satisfy -2 ≤ x < 2.
Answer: C
x includes -2 (since ≥ -2) but excludes 2 (since < 2). The integers are -2, -1, 0, and 1.
6. Solve the inequality: -3x ≤ 12
Answer: C
Divide both sides by -3. Remember to reverse the inequality sign when dividing by a negative number: x ≥ 12-3 => x ≥ -4.
7. Solve: (x3) - 2 ≥ 1
Answer: C
(x3) ≥ 1 + 2 => (x3) ≥ 3 => x ≥ 9.
8. If a < b and b < c, then a < c. Which property of inequality is this?
Answer: C
The Transitive Property links three terms: if a < b and b < c, then a < c.
9. A speed limit on a highway is 110 km/h. Which inequality represents a driver's speed, s, abiding by the limit?
Answer: D
Abiding by the limit means speed can be equal to or less than 110 km/h, which is written as s ≤ 110.
10. A container can carry a maximum weight of 500 kg. If 8 identical boxes of weight w kg are loaded, write the inequality.
Answer: C
Maximum weight means total weight must be less than or equal to 500 kg: 8w ≤ 500.