OCR PURE — Question 6

Exam BoardOCR
ModulePURE
TopicInequalities

6 In this question you must show detailed reasoning.
  1. Solve the inequality \(x ^ { 2 } + x - 6 > 0\), giving your answer in set notation.
  2. Solve the equation \(x ^ { 3 } - 7 x ^ { \frac { 3 } { 2 } } - 8 = 0\).
  3. Find the exact solution of the equation \(\left( 3 ^ { x } \right) ^ { 2 } = 3 \times 2 ^ { x }\).