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SajjadAhmad
If -2x > -5, then which of the following must be true?

A. \(x < \frac{5}{2}\)

B. \(x > -\frac{5}{2}\)

C. \(x > \frac{5}{2}\)

D. \(x < \frac{2}{5}\)

E. \(x > -\frac{5}{2}\)

Solution


    • \(-2x > -5\)

    • We know that when we divide an inequality by a negative number the inequality sign changes.

      o So, on dividing the given inequality with -2, we get,

         \(\frac{-2x}{-2} < \frac{-5}{-2} ⟹ x < \frac{5}{2}\)

Thus, the correct answer is Option A.
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