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6. Linear Inequalities
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Q29 of 32 Page 107

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

overbrace 7/2 ^0

The above graph represents all values of x less than excluding , hence


i.e.

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27

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

28

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

30

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

31

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


Questions · 32
6. Linear Inequalities
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