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Solve the following inequalities (i) l...

Solve the following inequalities
`(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0`
`(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0`

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The correct Answer is:
`(i) ((1)/(3),2)` `(ii)[(1)/(2),4]` `(iii)[2,oo)` `(iv)(-oo,-2]uu[2,oo)`
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RESONANCE ENGLISH-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Solve the following equations : (i) log(x)(4x-3)=2 (ii) log2(x-1)+log(...

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

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

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

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

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

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

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

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  9. Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=...

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  10. Find the number of solutions of equation (where sgn represent signum f...

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  11. Solve the following equation (i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0...

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  12. Find the number of solution of the following equation |sin x|=|x/10|

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  13. Solve the inequation 2^(1/(cos^2 x))sqrt(y^2-y+1/2)<= 1

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  14. Which of the following are true: \ (2xx3)! =2!xx3!

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  15. The shaded region in the given figure is

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  16. Consider the following statements : 1. Nuu(BnnZ)=(NuuB)nnZ for any s...

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  17. Which of the following venn-diagrams best represents the sets of femal...

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  18. In a college of 300 students, every student reads 5 newspapers and eve...

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  19. In a town of 10,000 families it was found that 40 % families buy newsp...

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  20. Let A(1), A(2) and A(3) be subsets of a set X. Which one of the follow...

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