Deduce the solution of the inequality $$\(3 x< |x-3|\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w21_qp_23 Year:2021 Question No:2(c)

Answer:

State \(x< \frac{3}{4}\)

Knowledge points:

2.1.1 understand the meaning of |x| , sketch the graph of y = |ax + b| and use relations such as |a| = |b| a - b < x < a + b when solving equations and inequalities (Graphs of and for non-linear functions are not included.)

Solution:

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