Mathematics · Oct / Nov 2022 · Paper 41 · Question 3
0580
As printed in the paper
Show the answer and mark scheme
3(a)[1]
–2 < x ⩽ 4 oe [1]
3(b)(i)[3]
–3 ⩽ x < 3 final answer [3]
M2 for –3 < x < k or for k ⩽ x < 3 or for –6 ⩽ 2x < 6 3 3 ⩽ x < 9 3 or for − − − 2 2 2 2
or M1 for – 3 – 3 ⩽ 2x < 9 – 3 3 ⩽ x + 3 9 − < or for 2 2 2 After 0 scored
SC1 for -3 ⩽ x or for x < 3
3(b)(ii)[2]
–3, –2, –1, 0, 1, 2 final answer [2]
FT their (i) as long as negative and positive values B1FT for one error or omission
3(c)(i)[4]
36 17 oe [4]
B3 for –15x–2x = 5 + 4 – 45 or better OR
B2 for 45 - 15x – 2x – 4 = 5 oe OR
M1 for correct removal of fraction
or M1 for correct removal of brackets
3(c)(ii)[3]
–8 [3]
B2 for 5x – 3x = 9 – 25 or better
or M1 for 5(x + 5) = 3(x + 3) oe or better
Make a free account to save your answers and see your weak topics and ask the AI why a wrong answer is wrong.