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Exercise - 6.1

Linear Inqualities

**Question-1 :-** Solve 24x < 100, when

(i) x is a natural number.

(ii) x is an integer.

**Question-2 :-** Solve – 12x > 30, when

(i) x is a natural number.

(ii) x is an integer.

**Question-3 :-** Solve 5x – 3 < 7, when

(i) x is an integer.

(ii) x is a real number.

**Question-4 :-** Solve 3x + 8 >2, when

(i) x is an integer.

(ii) x is a real number.

**Question-5 :-** Solve the inequalities : 4x + 3 < 5x + 7

**Question-6 :-** Solve the inequalities : 3x – 7 > 5x – 1

**Question-7 :-** Solve the inequalities : 3(x – 1) ≤ 2(x – 3)

**Question-8 :-** Solve the inequalities : 3(2 – x) ≥ 2(1 – x)

**Question-9 :-** Solve the inequalities : x + x/2 + x/3 < 11

**Question-10 :-** Solve the inequalities : x/3 > x/2 + 1

**Question-11 :-** Solve the inequalities : 3(x-2)/5 ≤ 5(2-x)/3

**Question-12 :-** Solve the inequalities : (3x/5 + 4)/2 ≥ (x-6)/3

**Question-13 :-** Solve the inequalities : 2(2x + 3) – 10 < 6(x – 2)

**Question-14 :-** Solve the inequalities : 37 – (3x + 5) > 9x – 8(x – 3)

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