CAT 2020 Inequalities Question (Easy)

Question

The number of integers that satisfy the equation x 2 - 5x 7 ,x 1 1

Accepted Answer

To solve the equation x 2 - 5x 7 x 1 1, we need to analyze the conditions under which an expression raised to a power equals 1. There are three main cases to consider 1. Case 1 The base is equal to 1. - This occurs when x 2 - 5x 7 1 - Rearranging gives x 2 - 5x 6 0 - Factoring the quadratic x - 2 x

CAT 2020

Quantitative

Inequalities

Easy

The number of integers that satisfy the equation
$(x^2 - 5x + 7)^{\,x+1} = 1$

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