(a)[4]
Solve for $x$ in the inequality $|3x - 4| \leq |2x + 5|$.
(b)[3]
Hence determine the greatest integer $N$ for which the inequality $|3 \times 7^{0.01N} - 4| \leq |2 \times 7^{0.01N} + 5|$ is true.
Mathematics 9709 · AS & A Level · Algebra
Mathematics 9709 · AS & A Level · Algebra
Solve for $x$ in the inequality $|3x - 4| \leq |2x + 5|$.
Hence determine the greatest integer $N$ for which the inequality $|3 \times 7^{0.01N} - 4| \leq |2 \times 7^{0.01N} + 5|$ is true.