JSCE Mathematics 2023 Theory — Question 7

Question 7 of 17 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2023 Theory paper, with the correct answer and a full explanation.

(b) Solve (x − 6)/4 < (−x + 4)/2 − 2. Show the solution on a number line.

Model answer

Multiply by 4: x − 6 < 2(−x + 4) − 8 x − 6 < −2x 3x < 6, so x < 2. Number line: draw a line, place an open circle at 2 and shade (arrow) to the left of 2, for all numbers less than 2.

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