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Inequalities and rearranging: weekend homework

set 21 October 2026 · due 25 October 2026 · homework handed in · about 25 min · 15 marks

Handed in 1 November 2026. Dad marks it from your photographs; the marks and feedback appear here once it is marked.

Mathematics 15 marks

13 marks · no calculator · about 5 min

Solve -4x >= 12

Then choose one value of x that your answer says should work. Put it into -4x >= 12 and show that it makes the statement true.

23 marks · no calculator · about 5 min

n is a positive integer.

Solve -4n > -14 and write down all the possible values of n.

33 marks · no calculator · about 5 min

Solve -3x < 6

Draw your own number line from -5 to 5 and show your solution on it.

42 marks · no calculator · about 3 min

Solve 2(x - 3) <= 5

54 marks · no calculator · about 6 min

(a) Make x the subject of y = 2x3

(b) Make x the subject of y = 5x2, where x is positive.