Solve the inequality $$$3 x+5<|2 x-3|$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_22 Year：2020 Question No：5(b)

Answer:

State equation $3 x+5=-(2 x-3)$ or corresponding inequality
Attempt solution of linear equation / inequality where signs of $3 x$ and $2 x$ are different
State answer $x<-\frac{2}{5}$
Alternative method for question $5(b)$
Square both sides of equation / inequality and attempt solution of 3-term quadratic equation / inequality
Obtain (eventually) only $-\frac{2}{5}$
State answer $x<-\frac{2}{5}$

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.)

Answer:

Knowledge points:

Solution:

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