Solution of a linear inequality in variable x is represented on number line. Choose the correct answer from the given four options in each of the

Solution of a linear inequality in variable x is represented on number line. Choose the correct answer from the given four options in each of the

Solution of a linear inequality in variable x is represented on number line. Choose the correct answer from the given four options in each of the

State which of the following statements is True or False

(i) If x < y and b < 0, then

(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

Fill in the blanks of the following:

(i) If – 4x ≥ 12, then x ... – 3.

(ii) If x ≤ –3, then x…..4.

(iii) If > 0, then x …. –2.

(iv) If x > –5, then 4x ... –20.

(v) If x > y and z < 0, then – xz ... – yz.

(vi) If p > 0 and q < 0, then p – q ... p.

(vii) If |x+ 2|> 5, then x ... – 7 or x ... 3.

(viii) If – 2x + 1 ≥ 9, then x ... – 4.