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Solve the following inequalities : log...

Solve the following inequalities :
`log_(x^2)(2+x)lt1`

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`x in (-2,-1)cup(-1,0)cup(0,1)cup(2,infty)`
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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Solve the following inequalities : log(1//2)log3((x+1)/(x-1))ge0

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  2. Solve the following inequalities : log((3x^2+1))2lt1/2

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  3. Solve the following inequalities : log(x^2)(2+x)lt1

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  4. Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the param...

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  5. Solve the following linear equations absx^2=absx+4=2x^2-3absx+1

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  6. Solve the following linear equations abs(abs(x-1)-2)=abs(x-3)

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  7. Solve the simultaneous equations abs(x+2)+y=5 and x-absy=1

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  8. Find the solution set of abs(2x-3)+abs(x+5)leabs(x-8)

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  9. If 3 sinalpha=5sin beta, then find the value of ("tan"(alpha+beta)/2)/...

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  10. If y = cos^2(45^@+x)+(sin x - cos x)^2, then find the maximum and mini...

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  11. Find the general solution of sin x-3 sin 2x+ sin 3x= cos x - 3 cos 2x ...

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  12. For all values of alpha,beta,gamma prove that: cos alpha + cos beta+ ...

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  13. If m tan (theta - 30^@) = n tan(theta+120^@), show that cos2theta = (m...

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  14. Solve the following inequalities : (abs(x-1)-3)(abs(x+2)-5)lt0

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  15. Solve the following inequalities : sin 3x lt sin x

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  16. Solve the following inequalities : tan^2 x-(1+sqrt3)tan x+ sqrt3lt0

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  17. If x,y,z, in R such that x+y+z=4, x^2+y^2+z^2=6 then find the range of...

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  18. Complete set of values of x satisfying the inequality x-3 lt sqrt(x^...

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  19. The set of all values of x for which sqrt(-x^2+5x-6)/(sqrt(1-2{x}))ge0...

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  20. The solution of the inequality (abs(x+2)-absx)/sqrt(4-x^3)ge0 is

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