Deduce the solution of the inequality $$\(|3 x+2 a|<|3 x-4 a|\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_21 Year:2020 Question No:4(c)

Answer:

State \(x<\frac{1}{3} a(\mathbf{F T}\) from part (b) \()\)

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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