Standard +0.3 This is a straightforward absolute value inequality requiring consideration of two cases based on the sign of (x-3), followed by solving linear inequalities and checking validity of solutions. It's slightly above average difficulty due to the need to handle cases systematically and reject invalid solutions, but remains a standard textbook exercise with no novel insight required.
State or imply non-modular inequality(x−3) 2 <(3x−4) 2 , or corresponding equation
(B1
Make reasonable attempt at solving a three term quadratic
M1
Obtain critical valuex= 7
Answer
Marks
4
A1
State final answerx> 7 only
Answer
Marks
4
A1)
OR1:
Answer
Marks
State the relevant critical inequality 3−x<3x−4, or corresponding equation
(B1
Solve for x
M1
Obtain critical valuex= 7
Answer
Marks
4
A1
State final answerx> 7 only
Answer
Marks
4
A1)
OR2:
Answer
Marks
Make recognizable sketches of y= x−3 andy=3x−4 on a single diagram
(B1
Find x-coordinate of the intersection
M1
Obtainx= 7
Answer
Marks
4
A1
State final answerx> 7 only
Answer
Marks
Guidance
4
A1)
Total:
4
Question
Answer
Marks
Question 2:
2 | EITHER:
State or imply non-modular inequality(x−3) 2 <(3x−4) 2 , or corresponding equation | (B1
Make reasonable attempt at solving a three term quadratic | M1
Obtain critical valuex= 7
4 | A1
State final answerx> 7 only
4 | A1)
OR1:
State the relevant critical inequality 3−x<3x−4, or corresponding equation | (B1
Solve for x | M1
Obtain critical valuex= 7
4 | A1
State final answerx> 7 only
4 | A1)
OR2:
Make recognizable sketches of y= x−3 andy=3x−4 on a single diagram | (B1
Find x-coordinate of the intersection | M1
Obtainx= 7
4 | A1
State final answerx> 7 only
4 | A1)
Total: | 4
Question | Answer | Marks