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Home » Solve and graph the solution set of: (i) 3x – 2 > 19 or 3 – 2x ≥ -7, x ∈ R (ii) 5 > p – 1 > 2 or 7 ≤ 2p – ≤ 17, p ∈ R
Solve and graph the solution set of: (i) 3x – 2 > 19 or 3 – 2x ≥ -7, x ∈ R (ii) 5 > p – 1 > 2 or 7 ≤ 2p – ≤ 17, p ∈ R
Class 10 | Exercise 4B | ICSE | Linear Inequations (In One Variable) | Maths | Selina
Solve and graph the solution set of: (i) 3x – 2 > 19 or 3 – 2x ≥ -7, x ∈ R (ii) 5 > p – 1 > 2 or 7 ≤ 2p – ≤ 17, p ∈ R

(I)

    \[3x\text{ }\text{ }2\text{ }>\text{ }19\text{ }or\text{ }3\text{ }\text{ }2x\text{ }\ge \text{ }-\text{ }7\]

    \[\begin{array}{*{35}{l}} 3x\text{ }>\text{ }21\text{ }or\text{ }-\text{ }2x\text{ }\ge \text{ }-\text{ }10 \\ x\text{ }>\text{ }7\text{ }or\text{ }x\text{ }\le \text{ }5 \\ \end{array}\]

The chart of arrangement set of

    \[x\text{ }>\text{ }7\text{ }or\text{ }x\text{ }\le \]

5 is equivalent to the diagram of focuses which have a place with

    \[x\text{ }>\text{ }7\text{ }or\text{ }x\text{ }\le \text{ }5\]

or both.

In this manner, the chart of the arrangement set is as beneath:

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 30

 

(ii)

    \[5\text{ }>\text{ }p\text{ }\text{ }1\text{ }>\text{ }2\text{ }or\text{ }7\text{ }\le \text{ }2p\text{ }\text{ }1\text{ }\le \text{ }17\]

    \[\begin{array}{*{35}{l}} 6\text{ }>\text{ }p\text{ }>\text{ }3\text{ }or\text{ }8\text{ }\le \text{ }2p\text{ }\le \text{ }18 \\ 6\text{ }>\text{ }p\text{ }>\text{ }3\text{ }or\text{ }4\text{ }\le \text{ }p\text{ }\le \text{ }9 \\ \end{array}\]

Presently, we need to get that:

Chart of arrangement set of

    \[6\text{ }>\text{ }p\text{ }>\text{ }3\text{ }or\text{ }4\text{ }\le \text{ }p\text{ }\le \text{ }9\]

    \[=\text{ }Graph\text{ }of\text{ }focuses\text{ }which\text{ }have\text{ }a\text{ }place\text{ }with\text{ }6\text{ }>\text{ }p\text{ }>\text{ }3\text{ }or\text{ }4\text{ }\le \text{ }p\text{ }\le \text{ }9\text{ }or\text{ }the\text{ }two\]

    \[=\text{ }Graph\text{ }of\text{ }focuses\text{ }which\text{ }have\text{ }a\text{ }place\text{ }with\]

    \[3\text{ }<\text{ }p\text{ }\le \text{ }9\]

In this manner, the chart of the arrangement set is as beneath:

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 31

i

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