OCR C1 2013 June — Question 7

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicInequalities

7 Solve the inequalities
  1. \(3 - 8 x > 4\),
  2. \(( 2 x - 4 ) ( x - 3 ) \leqslant 12\).
    \(8 \quad A\) is the point \(( - 2,6 )\) and \(B\) is the point \(( 3 , - 8 )\). The line \(l\) is perpendicular to the line \(x - 3 y + 15 = 0\) and passes through the mid-point of \(A B\). Find the equation of \(l\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.