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Let [a] denote the greatest integer less...

Let [a] denote the greatest integer less than or equal to a. The set of all values of x in`[-pi//2,pi//2]` satisfying the inequality
`|2x^(2)-4x-7| lt [1+(1)/(2)((cos theta)/("cos"(theta)/(2)-"sin"(theta)/(2)))^(2)]`,is

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