Question

Class 11

Topic:
Greatest Integer function

Let
y=2【x+5】=3【x-4】
Here 【】is G.I.F

Find x and y​

Answer 1

$\large\star{\bold{\boxed{\mathfrak{\red{Answer \implies x=[2,3) and \: y=54}}}}}\star$

$\large\star{\bold{\tt{Explanation:}}}\star$

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$\blacksquare$2[x+5]=3[x-4]

$\implies$2[x]+10=3[x]-12

$\implies$2[x]-3[x]=-10-12

$\implies$-[x]=-22

$\implies$[x]=22

$\bigcirc$x€[22,23)_______(1)

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$\blacksquare$y=2[x+5]

$\implies$2([x]+5)

$\implies$2[x] + 5

From (1)

$\implies$2 x 22+10

$\implies$44+10

$\bigcirc$54

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Answer 2

Refer to the attatchment❤