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Question Number 38222 by sir themes last updated on 23/Jun/18

If U={−5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5}  A={x/x^2 =25, x ∈ Z}  B={x/x^2 +5=9, x ∈ Z} and  C={x/−2≤ x ≤ 2, x ∈ Z} then  (A ∩ B ∩ C)^c  ∩ (A△B)^c =?

$$\mathrm{If}\:\mathbb{U}=\left\{−\mathrm{5},\:−\mathrm{4},\:−\mathrm{3},\:−\mathrm{2},\:−\mathrm{1},\:\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4},\:\mathrm{5}\right\} \\ $$$$\mathrm{A}=\left\{{x}/{x}^{\mathrm{2}} =\mathrm{25},\:{x}\:\in\:\mathrm{Z}\right\} \\ $$$$\mathrm{B}=\left\{{x}/{x}^{\mathrm{2}} +\mathrm{5}=\mathrm{9},\:{x}\:\in\:\mathrm{Z}\right\}\:\mathrm{and} \\ $$$$\mathrm{C}=\left\{{x}/−\mathrm{2}\leqslant\:{x}\:\leqslant\:\mathrm{2},\:{x}\:\in\:\mathrm{Z}\right\}\:\mathrm{then} \\ $$$$\left(\mathrm{A}\:\cap\:\mathrm{B}\:\cap\:\mathrm{C}\right)^{\mathrm{c}} \:\cap\:\left(\mathrm{A}\bigtriangleup\mathrm{B}\right)^{\mathrm{c}} =? \\ $$

Commented by Joel579 last updated on 23/Jun/18

Δ  what is it mean?

$$\Delta\:\:\mathrm{what}\:\mathrm{is}\:\mathrm{it}\:\mathrm{mean}? \\ $$

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