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Linear Inequalities

Short Answer Type

1. Solve 24x < 100, when

(i) x is a natural number

(ii) x is an integer

1058 Views

Solve -12x > 30, when

(i) x is a natural number. (ii) x is an integer.

452 Views

Solve 5x – 3 < 7, when

(i) x is an integer. (ii) x is a real number.

474 Views

4.
Solve 3x + 8 > 2, when

(i) x is an integer. (ii) x is a real number.

3x + 8 > 2

$rightwards double arrow$ 3x > 2 - 8 $rightwards double arrow$ 3x > - 6 $rightwards double arrow$ x > -2

∴ (i) When $space space straight x element of space straight Z comma$

x = -1, 0, -1, 2, 3, ........

The solution set is $open curly brackets negative 1 comma space 0 comma space 1 comma space 2 comma space 3 comma......... close curly brackets$

(ii) When $straight x space element of space straight R space rightwards double arrow space straight x greater than negative 2 space space or space straight x space element of space left parenthesis negative 2 comma space infinity right parenthesis$

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