Use real number line to find the range of values of x for which: (i) x > 3 and 0 < x < 6 (ii) x < 0 and -3 ≤ x < 1 - Noon Academy

Use real number line to find the range of values of x for which: (i) x > 3 and 0 < x < 6 (ii) x < 0 and -3 ≤ x < 1

Class 10 | Exercise 4B | ICSE | Linear Inequations (In One Variable) | Maths | Selina

Use real number line to find the range of values of x for which: (i) x > 3 and 0 < x < 6 (ii) x < 0 and -3 ≤ x < 1

(I)

$x\text{ }>\text{ }3\text{ }and\text{ }0\text{ }<\text{ }x\text{ }<\text{ }6$

Both the given inequations are valid in the reach where their charts on the genuine number lines cross-over.

What’s more, the diagrams of these inequations can be drawn as beneath:

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 35

$x\text{ }>\text{ }3$

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 35

$0\text{ }<\text{ }x\text{ }<\text{ }6$

Along these lines, from both the diagrams, obviously their normal reach is

$3\text{ }<\text{ }x\text{ }<\text{ }6$

(ii)

$x\text{ }<\text{ }0\text{ }and\text{ }-\text{ }3\text{ }\le \text{ }x\text{ }<\text{ }1$

Both the given inequations are valid in the reach where their charts on the genuine number lines cross-over.

Also, the diagrams of these inequations can be drawn as beneath:

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 37

$x\text{ }<\text{ }0$

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 38

In this way, from both the diagrams, unmistakably their normal reach is

$-\text{ }3\text{ }\le \text{ }x\text{ }<\text{ }0$

i

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