2026-09-10T00:15:07.852898 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL The graph of \(y = 2x + 5\) is shown. Solve the i...

Assessment: Mathematics 9260 | Paper 1 Mock 01 | Written Paper 1 (Core 1C / Extension 1E) Subject: Mathematics - 9260

Question 1 Report

The graph of \(y = 2x + 5\) is shown. Solve the inequality \(-3 \leqslant 2x + 5 < 13\).

Then write down all of the integers that satisfy your inequality.

Answer

Answer Details

Subtract \(5\) from every part of the compound inequality:

\[-8\leq2x<8\quad\text{[M1]}\]

Divide throughout by positive \(2\):

\[\boxed{-4\leq x<4}\quad\text{[A1]}\]

The lower boundary is included but the upper boundary is not. Therefore the integers are

\[\boxed{-4,-3,-2,-1,0,1,2,3}\quad\text{[A1]}\]

Related Questions

Everything you need to excel in your exams