State which of the following statements is True or False(i) If x < y a

State which of the following statements is True or False(i) If x < y and b < 0, then x/b < y/b(ii) If xy > 0, then x > 0 and y < 0(iii) If xy > 0, then x < 0 and y < 0(iv) If xy < 0, then x < 0 and y < 0(v) If x < –5 and x < –2, then x ∈ (– ∞, – 5)(vi) If x < –5 and x > 2, then x ∈ (– 5, 2)(vii) If x > –2 and x < 9, then x ∈ (– 2, 9)(viii) If | x| > 5, then x ∈ (– ∞, – 5) ∪ [5, ∞)(ix) If | x| ≤ 4, then x ∈ [– 4, 4](x) Graph of x < 3 is(xi) Graph of x ≥ 0 is(xii) Graph of y ≤ 0 is(xiii) Solution set of x ≥ 0 and y ≤ 0 is(xiv) Solution set of x ≥ 0 and y ≤ 1 is(xv) Solution set of x + y ≥ 0 is

Answer»

(i) False

(ii) False

(iii) True

(iv) False

(v) True

(vi) False

(vii) True

(viii) False

(ix) True

(x) False

(xi) True

(xii) False

(xiii)False

(xiv)True

(xv) True