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 integer values satisfies the inequality 2x - 1 < 5?
Answer: C
2x < 6 => x < 3. Among the choices (3, 4, 2, 5), only 2 is strictly less than 3.
2. 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.
3. 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.
4. Solve the inequality: x + 6 > 2
Answer: B
Subtract 6 from both sides: x > 2 - 6, so x > -4.
5. 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.
6. Solve: (x3) - 2 ≥ 1
Answer: C
(x3) ≥ 1 + 2 => (x3) ≥ 3 => x ≥ 9.
7. 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.
8. The minimum passing mark for an exam is 50. If m represents the mark, which inequality is correct?
Answer: B
Minimum means 50 is included as a passing mark, so m ≥ 50.
9. Solve the simultaneous linear inequalities: x > 1 and x ≤ 5
Answer: B
Combining x > 1 and x ≤ 5 yields the range 1 < x ≤ 5.
10. 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.