Easy -1.2 This is a straightforward application of the basic modulus inequality rule, requiring only splitting into two cases (2x-3 > 5 or 2x-3 < -5) and solving two simple linear inequalities. It's a standard textbook exercise testing recall of a fundamental technique with minimal steps, making it easier than average.
EITHER: State or imply non-modular inequality \((2x - 3)^2 > 5^2\), or corresponding equation or pair of linear equations
M1
Obtain critical values \(-1\) and \(4\)
A1
State correct answer \(x < -1, x > 4\)
A1
[3]
OR: State one critical value, e.g. \(x = 4\), having solved a linear equation (or inequality) or from a graphical method or by inspection
B1
State the other critical value correctly
B1
State correct answer \(x < -1, x > 4\)
B1
[3]
EITHER: State or imply non-modular inequality $(2x - 3)^2 > 5^2$, or corresponding equation or pair of linear equations | M1 |
Obtain critical values $-1$ and $4$ | A1 |
State correct answer $x < -1, x > 4$ | A1 | [3]
OR: State one critical value, e.g. $x = 4$, having solved a linear equation (or inequality) or from a graphical method or by inspection | B1 |
State the other critical value correctly | B1 |
State correct answer $x < -1, x > 4$ | B1 | [3]