For x -1-3 and y -2-7- verify that x - y - y - x -2 MARKS -

Concept : 1 Mark Calculation : 1 Mark For x=1/3 and y=2/7 L.H.S = x+y=1/3 + 2/7 =7/21+6/21 = 7+6/21 = 13/21——–(i) now, R.H.S = y+x=2/7 + nbsp;1/3 =6/21 + ...

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Standard VIII

Mathematics

Union of Sets

For x =1/3 an...

Question

For $x = \frac{1}{3}$ and $y = \frac{2}{7}$ , verify that $x + y = y + x$ [2 MARKS]

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Solution

Concept : 1 Mark
Calculation : 1 Mark

For $x = \frac{1}{3}$ and $y = \frac{2}{7}$

L.H.S = $x + y = \frac{1}{3} + \frac{2}{7}$

$= \frac{7}{21} + \frac{6}{21} = \frac{7 + 6}{21} = \frac{13}{21}$ --------(i)

now, R.H.S = $y + x = \frac{2}{7} + \frac{1}{3}$

$= \frac{6}{21} + \frac{7}{21} = \frac{13}{21}$ -------(ii)

From (i) and (ii) $x + y = y + x$ .
Hence verified.

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For x=13 and y=27, verify that x+y=y+x [2 MARKS]

Concept : 1 Mark Calculation : 1 Mark For x=13 and y=27 L.H.S = x+y=13+27 =721+621=7+621=1321--------(i) now, R.H.S = y+x=27+13 =621+721=1321-------(ii) From (i) and (ii) x+y=y+x. Hence verified.

For $x = \frac{1}{3}$ and $y = \frac{2}{7}$ , verify that $x + y = y + x$ [2 MARKS]