Numbers Worksheet-17

Numbers Worksheet-17

1. Which of the following phrases does NOT suggest inequality?

(a) greater than                            (b) at least

(c) equal to                                    (d) between

2. The symbol ≥ means _______.

(a) less than or equal to              (b) more than

(c) more than or equal to           (d) less than

3. Which of the following is an example of inequality?

(a) y + 3 = 8      (b) y – 5             (c) 2y – 5 = 9    (d) y > 5

4. Write an inequality for the following situation.

Seven less than half of a number k, is at least 5

(a)       (b) –7 ≤ 5         (c)       (d)

5. Which option shows an inequality for the following situation?

Three times a number “y”, increased by 2 is at most 34.

(a) 3y + 2 ≤ 34                            (b) 3y + 2 ≥ 34

(c) 3y + 2 < 34                            (d) 3y + 2 = 34

6. Write an inequality for the following situation.

The sum of a number “h”, and 9 is at least 21.

(a) h + 9 ≤ 21   (b) h + 9 ≥ 21   (c) h – 9 ≥ 21    (d) h + 9 > 21

7. Write an inequality for the following expression.

The number of visitors (y) is at least 70.

(a) y ≤ 70          (b) y ≥ 70          (c) y < 70           (d) y > 70

8. Which option is TRUE for a number line?

(a) –4 will fall to the left of –1.

(b) 4 will fall to the right of –1.

(c) –1 will fall to the left of 2.

(d) all of these

9. Write an inequality for the following situation.

You must spend atleast Rs. 50 to receive a coupon.

(a) d = 50          (b) d ≤ 50          (c) d > 50           (d) d ≥ 50

10. Find the inequality for the following expression.

z is at most 5.

(a) z ≥ 5              (b) z > 5             (c) z = 5              (d) z ≤ 5

11. Which inequality is represented by the ray in red colour?

(a) y ≥ –1           (b) y > –1           (c) y ≤ –1           (d) y < –1

12. Which inequality is represented by the ray in red colour?

(a) y > 2             (b) y ≥ 2             (c) y ≤ 2             (d) y ≤ 5

13. Which inequality is represented by the ray in red colour?

(a) y < –1           (b) y ≤ –1           (c) y ≤ 1              (d) y > –1

14. Six less than n is at least 15.

Write this as an inequality.

(a) n – 6 ≥ 15    (b) n – 6 < 15    (c) 6 – n ≥ 15    (d) n – 6 ≤ 15

15. Solve –3k < 9 for k.

(a) k < 3             (b) k ≤ –3          (c) k > –3          (d) k = –3

16. Which option shows a CORRECT inequality for the following situation?

Five less than twice a number (z) is at most 13.

(a) 2Z – 5 ≤ 13                              (b) 2Z – 5 ≥ 13

(c) 5 – 2Z ≤ 13                              (d) 2Z – 5 < 13

17. Solve: y – 2 < 8

(a) y = 10           (b) y < 6            (c) y < 10           (d) y > 10

18. If a < b then ______.

(a) a + c = b + c                            (b) a + c > b + c

(c) 2a + c < b + 2c                       (d) a + c < b + c

19. Which of the following inequalities is correct.

(a) 2⁴ < 4²         (b) 3² > 2³        (c) 3⁵ < 5³         (d) 4³ > 3⁴

20. Which of these will flip the inequality sign in solving inequalities?

(a) If same number is added to both sides of an inequality

(b) If both sides of an inequality are multiplied by a positive number.

(c) If both sides of an inequality are multiplied or divided by a negative number.

(d) If same number is subtracted from the both sides of an inequality.

Answer Key:

(1)-(c); (2)-(c); (3)-(d); (4)-(c); (5)-(a); (6)-(b); (7)-(b); (8)-(d); (9)-(d); (10)-(d); (11)-(d); (12)-(b); (13)-(c); (14)-(a); (15)-(c); (16)-(a); (17)-(c); (18)-(d); (19)-(b); (20)-(c)