10 questions · Form 1 Mathematics Bab 7: Linear Inequalities
Solve: (x3) - 2 ≥ 1
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Solve: (x3) - 2 ≥ 1
Answer: C
(x3) ≥ 1 + 2 => (x3) ≥ 3 => x ≥ 9.
2. What is the common region for the inequalities x < -1 and x > 3?
Answer: D
There are no numbers that are simultaneously less than -1 AND greater than 3, so there is no common region.
3. 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.
4. 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 (≤).
5. Solve the inequality: x + 6 > 2
Answer: B
Subtract 6 from both sides: x > 2 - 6, so x > -4.
6. Find the maximum integer value of x that satisfies x + 4 < 9.
Answer: B
x < 9 - 4 => x < 5. The largest integer strictly less than 5 is 4.
7. 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.
8. Solve the inequality: 5 - 2x > 1
Answer: A
-2x > 1 - 5 => -2x > -4. Divide by -2 and reverse the inequality sign: x < 2.
9. 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.
10. Solve the simultaneous linear inequalities: x > 1 and x ≤ 5
Answer: B
Combining x > 1 and x ≤ 5 yields the range 1 < x ≤ 5.