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Quiz Chapter 7: Linear Inequalities

10 questions · Form 1 Mathematics Bab 7: Linear Inequalities

Question 1 of 10Score: 0

If -5 < 3, what happens to the inequality sign when both sides are multiplied by -2?

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. If -5 < 3, what happens to the inequality sign when both sides are multiplied by -2?

  1. The sign stays the same (-10 < -6)
  2. The sign reverses (10 > -6)
  3. The sign disappears
  4. The inequality becomes an equality
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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.

2. If a < b and b < c, then a < c. Which property of inequality is this?

  1. Converse Property
  2. Additive Property
  3. Transitive Property
  4. Multiplicative Property
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Answer: C

The Transitive Property links three terms: if a < b and b < c, then a < c.

3. A container can carry a maximum weight of 500 kg. If 8 identical boxes of weight w kg are loaded, write the inequality.

  1. 8w ≥ 500
  2. 8w > 500
  3. 8w ≤ 500
  4. w + 8 ≤ 500
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Answer: C

Maximum weight means total weight must be less than or equal to 500 kg: 8w ≤ 500.

4. Solve the simultaneous linear inequalities: 2x ≥ 6 and x + 3 < 8

  1. 3 ≤ x < 5
  2. 3 < x ≤ 5
  3. x ≥ 3
  4. x < 5
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Answer: A

First inequality: x ≥ 3. Second inequality: x < 5. Combining both gives 3 ≤ x < 5.

5. If x > y, which statement is TRUE according to the Converse Property of Inequalities?

  1. y < x
  2. y > x
  3. x + y > 0
  4. -x < -y
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Answer: A

The Converse Property states that if a > b, then b < a. Therefore, if x > y, then y < x.

6. Solve the simultaneous linear inequalities: x > 1 and x ≤ 5

  1. 1 ≤ x < 5
  2. 1 < x ≤ 5
  3. x > 5
  4. x < 1
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Answer: B

Combining x > 1 and x ≤ 5 yields the range 1 < x ≤ 5.

7. Find all integer values of x that satisfy -2 ≤ x < 2.

  1. -2, -1, 0, 1, 2
  2. -1, 0, 1
  3. -2, -1, 0, 1
  4. -1, 0, 1, 2
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Answer: C

x includes -2 (since ≥ -2) but excludes 2 (since < 2). The integers are -2, -1, 0, and 1.

8. Solve: (x3) - 2 ≥ 1

  1. x ≥ 3
  2. x ≥ 6
  3. x ≥ 9
  4. x ≤ 9
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Answer: C

(x3) ≥ 1 + 2 => (x3) ≥ 3 => x ≥ 9.

9. Which of the following inequality symbols means 'at most'?

  1. >
  2. <
  3. ≥
  4. ≤
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Answer: D

'At most' indicates a maximum threshold, which corresponds to the 'less than or equal to' symbol (≤).

10. Represent the inequality x ≥ -2 on a number line. What kind of circle is drawn at -2?

  1. Empty circle with arrow pointing left
  2. Solid circle with arrow pointing left
  3. Solid circle with arrow pointing right
  4. Empty circle with arrow pointing right
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Answer: C

For '≥', a solid circle is used because -2 is included, and the arrow points right for greater values.

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