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Define and plot (i) y=|x-2|+3|x-3| (ii...

Define and plot
`(i) y=|x-2|+3|x-3|` `(ii) y=||x-2|-3|+|x|`
`(iii)y=|x-1|+|x-4|-2|x+1|`

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RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Find the number of positive integral value of x satisfying the inequal...

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  2. If 1lt(x-1)/(x+2)lt7 then find the range of (i) x (ii) x^(2) (iii) (...

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  3. Define and plot (i) y=|x-2|+3|x-3| (ii) y=||x-2|-3|+|x| (iii)y=|x-...

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  4. Using the Remainder Theorem, factorise each of the following completel...

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  5. Solve for x (i) 2^(|x+1|)+2^(|x|)=6 and x in I (ii) x^(2)+x+1+|x-3...

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  6. Solve the following in equalities (i) |x+7| gt 5 (ii) |x+3| lt 10 ...

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  7. Find the number of solution of the following equation (i) |||x-1|-2|...

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  8. If graph of y=(x-1)(x-2) is then draw the graph of the following ...

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  9. Solve the following in equalities (i) |x+7| gt 5 (ii) |x+3| lt 10 ...

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  10. Find the value of (i) (log(10)5)(log(10)20)+(log(10)2)^(2) (ii) root3...

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  11. Let log(10)2=a and log(10)3=b determine the following in term of a and...

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  12. Prove that : (log(2)10)(log(2)80)-(log(2)5)(log(2)160)=4 .

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  13. Solve the following equations : (i) log(x)(4x-3)=2 (ii) log2(x-1)+log(...

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  14. Solve the following equations (i) (log(2)(9-2^(x)))/(3-x)=1 (ii) ...

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  15. Solve the following inequalities (i) log(5)(3x-1) lt 1 (ii) (log(.5)...

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  16. Solve the following inequalities (i) |log(3)x|-log(3)x-3 lt 0 (ii)(x...

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  17. Solve: 15^x-25* 3^x-9*5^x+225 >= 0.

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  18. Solve for x (where [*] denotes greatest integer function and {*} repre...

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  19. Solve the following equation (where [*] denotes greatest integer funct...

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  20. Solve the following inequalities (where [*] denotes greatest integer f...

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