Substitution in inequality

Solve inequalities involving composite expressions like 2^(2y) by substituting u = 2^y and solving a simpler inequality.

1 questions · Standard +0.3

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OCR C2 Q4

6 marks Standard +0.3

4. (i) Solve the inequality $$x ^ { 2 } - 13 x + 30 < 0$$ (ii) Hence find the set of values of \(y\) such that $$2 ^ { 2 y } - 13 \left( 2 ^ { y } \right) + 30 < 0 .$$