Represent your answer to part (c)(i) on the number line below. [1]
Mark scheme (a)
Scheme
Marks
Comments
\(7x - 3x = 4 - 2\) or equivalent
B1
Seen or implied FT until 2nd error
\(x = \dfrac{2}{4}\) or equivalent
B1
FT Mark final answer
Mark scheme (b)
Scheme
Marks
Comments
\(3 - 2x + 18 = 5x\) or equivalent
B1
Seen or implied FT until 2nd error
\(7x = 21\) or \(x = \dfrac{21}{7}\)
B1
FT
\(x = 3\)
B1
FT
Mark scheme (c)
Scheme
Marks
Comments
(i) \(3x \gt 6\) or \(-6 \gt -3x\)
M1
\(x \gt 2\) or \(2 \lt x\)
A1
No marks for use of “=”, unless finally replaced to give \(x \gt 2\) then award M1 A1. If M0 then SC1 for \(x \gt \dfrac{8}{3}\)
(ii) Open circle at 2 with arrow right
B1
STRICT FT ‘their (c)(i)’ provided an inequality Accept any unambiguous notation; arrow could just be a line but must not clearly terminate unless this follows through from part (c)(i); mark intent
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