EASY
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Solve |x+3|=8 using modulus function definition.

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Important Questions on Functions, Equations and Inequalities

EASY
f(x)=5-|x-1| Find the maximum value of f(x), also find the value of x for which f(x) is maximum.
MEDIUM
The number of pairs (x, y) satisfying the equation sinx+siny=sin(x+y) and |x|+y=1  is
EASY
If a 3×3 matrix is filled with +1's and -1 's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant is
EASY
If the solution set of the inequality a+3x≤6 is -83,43, then the value of a is equal to
MEDIUM
The set of real values of x for which the inequality x-1+x+1<4 always holds good is
EASY
The product and sum of the roots of the equation x2-5x-24=0 are respectively
MEDIUM

Let f(x)=x2-5x+6, g(x)=f(|x|), h(x)=|g(x)| and Ï•(x)=h(x)-(x) are four functions, where (x) is the integral function of x≥x. Then, the number of solutions of the equation, g(x)=0 is