Standard +0.3 This is a straightforward modulus inequality requiring students to square both sides (since both are positive) to eliminate the modulus signs, then solve the resulting linear inequality. It's slightly above average difficulty as it requires knowing the squaring technique and careful algebraic manipulation, but it's a standard textbook exercise with no novel insight required.
State or imply non-modular inequality \(2x + 1)^2 < (2x - 5)^2\), or corresponding equation or pair of linear equations
M1
Obtain critical value 1
A1
State correct answer \(x < 1\)
A1
[3]
OR
Answer
Marks
State the critical value \(x = 1\), by solving a linear equation (or inequality) or from a graphical method or by inspection
B2
State correct answer \(x < 1\)
B1
[3]
State or imply non-modular inequality $2x + 1)^2 < (2x - 5)^2$, or corresponding equation or pair of linear equations | M1 |
Obtain critical value 1 | A1 |
State correct answer $x < 1$ | A1 |
| | [3] |
**OR**
State the critical value $x = 1$, by solving a linear equation (or inequality) or from a graphical method or by inspection | B2 |
State correct answer $x < 1$ | B1 |
| | [3] |