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If 1lt(x-1)/(x+2)lt7 then find the range...

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

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The correct Answer is:
`(i) (-oo,-(5)/(2))` `(ii) ((25)/(4),oo)` `(iii) -(2)/(5),0)`
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RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Solve the following rational in equalities (i) ((x-1)(x+2))/((x-3)(x...

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  2. Find the number of positive integral value of x satisfying the inequal...

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

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

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  5. Solve for x (i) |x+1|=4x+3 (ii) |x+1|=|x+3| (iii) 7|x-2|-|x-7|=5...

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

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

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

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  10. Solve the following inequlities (i) sqrt(x-1) lt x-3 (ii) sqrt(x-3) ...

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

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

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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) x^...

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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. 1 5^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 equations (where [*] dentoes greatest integer fu...

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  20. Solve the following equations (where [*] denotes greatest integer func...

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