Solve -2x ≥ 9 when (i) x is a real number, (ii) x is an integer,

1.	Solve -2x ≥ 9 when (i) x is a real number, (ii) x is an integer, (iii) x is a natural number.
Answer» -2x > 9 ⇒ 2x ≤ -9 (i) 2x/2 ≤ -9/2 x ≤ -9/2 (= -4.5) (ii) x = … -3, -2, -1, 0, 1, 2, 3, 4 (iii) x = 1, 2, 3, 4

Solve -2x ≥ 9 when (i) x is a real number, (ii) x is an integer, (iii) x is a natural number.

Answer»

-2x > 9 ⇒ 2x ≤ -9

(i) 2x/2 ≤ -9/2

x ≤ -9/2 (= -4.5)

(ii) x = … -3, -2, -1, 0, 1, 2, 3, 4

(iii) x = 1, 2, 3, 4