P is the solution set of 7x – 2 > 4x + 1 and Q is the solution set of 9x – 45 ≥ 5(x – 5); where x ∈ R. Represent: (i) P ∩ Q (ii) P

P is the solution set of 7x – 2 > 4x + 1 and Q is the solution set of 9x – 45 ≥ 5(x – 5); where x ∈ R. Represent: (i) P ∩ Q (ii) P – Q

P is the solution set of 7x – 2 > 4x + 1 and Q is the solution set of 9x – 45 ≥ 5(x – 5); where x ∈ R. Represent: (i) P ∩ Q (ii) P – Q

$P\text{ }=\text{ }\{x:\text{ }7x\text{ }\text{ }2\text{ }>\text{ }4x\text{ }+\text{ }1,\text{ }x\in R\}$

$\begin{array}{*{35}{l}} 7x\text{ }\text{ }2\text{ }>\text{ }4x\text{ }+\text{ }1 \\ 7x\text{ }\text{ }4x\text{ }>\text{ }1\text{ }+\text{ }2 \\ 3x\text{ }>\text{ }3 \\ x\text{ }>\text{ }1 \\ \end{array}$

What’s more,

$<span class="ql-right-eqno"> (1) </span><span class="ql-left-eqno"> </span><img src="https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-9ee616f23e63a50b2637955015cea628_l3.png" height="320" width="3668" class="ql-img-displayed-equation quicklatex-auto-format" alt="\begin{align*} & Q\text{ }=\text{ }\{x:\text{ }9x\text{ }\text{ }45\text{ }\ge \text{ }5\left( x\text{ }-\text{ }5 \right),\text{ }x\in R\} \\ & 9x\text{ }\text{ }45\text{ }\ge \text{ }5x\text{ }\text{ }25 \\ & 9x\text{ }\text{ }5x\text{ }\ge \text{ }45\text{ }\text{ }25 \\ & 4x\text{ }\ge \text{ }20 \\ & x\text{ }\ge \text{ }5 \\ (i) & \left( i \right)P\text{ }\cap \text{ }Q\text{ }=\text{ }\{x:\text{ }x\text{ }\ge \text{ }5,\text{ }x\in R\text{ }\} \\ <img src="https://cdn1.byjus.com/wp-content/uploads/2019/12/concise-selina-solutions-class-10-maths-chapter-445.png" alt="Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 45" /> (ii) & \left( ii \right)\text{ }P\text{ }\text{ }Q\text{ }=\text{ }\{x:\text{ }1\text{ }<\text{ }x\text{ }<\text{ }5,\text{ }x\in ~R\} \\ \end{align*}" title="Rendered by QuickLaTeX.com"/>$

Concise Selina Solutions Class 10 Maths Chapter 4 ex. 4(B) - 46

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