IB Mathematics AHL 2.16 The graphs of the functions AA HL Paper 3
Question
Find the values of x for which |5-3x|≤|x+1|.
▶️Answer/Explanation
AnsMETHOD 1
\(|5-3x|\leq|x+1|\Rightarrow 25-30x+9x^2\leq x^2+2x+1\)
\(\Rightarrow 8x^2-32x+24\leq 0\Rightarrow 8(x-1)(x-3)\leq 0\)
\(\Rightarrow 1\leq x\leq 3\)