Menu Close

Let-A-x-R-x-2-lt-4-and-B-y-Q-y-gt-3-find-A-B-




Question Number 211643 by MrGaster last updated on 15/Sep/24
Let A={x ∈ R∣x^2 <4}and  B={y ∈ Q∣y>−3}find A∩B
$$\mathrm{Let}\:\boldsymbol{{A}}=\left\{\boldsymbol{{x}}\:\in\:\mathbb{R}\mid\boldsymbol{{x}}^{\mathrm{2}} <\mathrm{4}\right\}\mathrm{and} \\ $$$$\boldsymbol{{B}}=\left\{\boldsymbol{{y}}\:\in\:\mathbb{Q}\mid\boldsymbol{{y}}>−\mathrm{3}\right\}\mathrm{find}\:\boldsymbol{{A}}\cap\boldsymbol{{B}} \\ $$
Answered by Faetmaaa last updated on 15/Sep/24
A=(−2, 2)  B=Q∩(−3, ∞)  A∩B=Q∩(−2, 2)={q∈Q  −2<q<2}
$${A}=\left(−\mathrm{2},\:\mathrm{2}\right) \\ $$$${B}=\boldsymbol{\mathrm{Q}}\cap\left(−\mathrm{3},\:\infty\right) \\ $$$${A}\cap{B}=\boldsymbol{\mathrm{Q}}\cap\left(−\mathrm{2},\:\mathrm{2}\right)=\left\{{q}\in\boldsymbol{\mathrm{Q}}\:\:−\mathrm{2}<{q}<\mathrm{2}\right\} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *