CAIE A-Level Mathematics AS 2.1.1 Modulus Equations Questions

Solve 5 x+7=2 x-3 to obtain $-\frac{10}{3}$
Or inequality.

Attempt solution of linear equation where 5 x and 2 x have
different signs
Or inequality.

Obtain $-\frac{4}{7}$
State $x<-\frac{10}{3}, x>-\frac{4}{7}$
A0 if ' ... and . . . ' used.

Alternative Method for Question 1

State or imply non-modulus equation $(5 x+7)^{2}=(2 x-3)^{2}$
Or inequality.

Attempt solution of three-term quadratic equation
Or inequality.

Obtain $-\frac{10}{3}$ and $-\frac{4}{7}$
State $x<-\frac{10}{3}, x>-\frac{4}{7}$
A0 if ' ... and . . .' used.