5 marksThe Modulus Function
CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 1(c)
Solve the inequality |3x + 2| \ge 4.
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Practise this questionOther parts of this question
- 1(a)(i)Let
pandqbe any two propositions. Complete the truth table below.[3 marks] - 1(a)(ii)Hence, state whether the statements
(\sim q \wedge p)andp \vee (\sim q \wedge p)are logically equivalent. Justify your response.[2 marks] - 1(b)Determine the values of
a,b, andc, such that2x^2 - 7x + 12 = a(x - 2)(x - 1) - b(x - 3) + c.[9 marks] - 1(d)Solve the logarithmic equation
\log_5(x + 2) + \log_5(x + 6) = 1.[6 marks]
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