Fill in the blanks in the following:(i) If x ≥ – 3, then x + 5 ...

1.	Fill in the blanks in the following:(i) If x ≥ – 3, then x + 5 ................... 2(ii) If – x ≤ – 4, then 2x ................... 8(iii) If x−1 ≤ 2 , then – 1..... x .... 3(iv) If p > 0 and q < 0, then p + q ... p
Answer» (i) (≥), because same number can be added to both sides of inequality without changing the sign of inequality (ii) (≥), after multiplying both sides by – 2, the sign of inequality is reversed. (iii) (≤, ≤ ), x −1 ≤ 2 ⇒ – 2 ≤ x – 1 ≤ 2 ⇒ –1 ≤ x ≤ 3. (iv) (<), as p is positive and q is negative, therefore, p + q is always smaller than p.

Fill in the blanks in the following:(i) If x ≥ – 3, then x + 5 ................... 2(ii) If – x ≤ – 4, then 2x ................... 8(iii) If x−1 ≤ 2 , then – 1..... x .... 3(iv) If p > 0 and q < 0, then p + q ... p

Answer»

(i) (≥), because same number can be added to both sides of inequality without changing the sign of inequality

(ii) (≥), after multiplying both sides by – 2, the sign of inequality is reversed.

(iii) (≤, ≤ ), x −1 ≤ 2 ⇒ – 2 ≤ x – 1 ≤ 2 ⇒ –1 ≤ x ≤ 3.

(iv) (<), as p is positive and q is negative, therefore, p + q is always smaller than p.