A-LevelMathematicsAlgebra9709/33 · May/June 2022 · Q14 Marks
Find, in terms of a, the set of values of x satisfying the inequality 2|3x + a| < |2x + 3a|, where a is a positive constant.
- Find, in terms of a, the set of values of x satisfying the inequality 2|3x + a| < |2x + 3a|, where a is a positive constant.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [B1] State or imply non-modular inequality 2² (3x + a)² < (2x + 3a)², or corresponding quadratic equation, or pair of linear equations
- [M1] Solve 3-term quadratic, or solve two linear equations for x
- [A1] Obtain critical values x = 1/4 a and x = −5/8 a
- [A1] State final answer −5/8 a < x < 1/4 a or −0.625a < x < 0.25a
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →