turkey-yks 2016 Q13

turkey-yks · Other · ygs Inequalities Absolute Value Inequality

On the real number line, numbers whose distance to point 2 is less than half the distance to point $-4$ form the solution set of which of the following inequalities?
A) $| x - 2 | < | x + 4 |$
B) $| x + 2 | < | x - 4 |$
C) $| 2 x - 4 | < | x + 4 |$
D) $| 2 x - 4 | < | x - 4 |$
E) $| 2 x + 4 | < | x + 4 |$

On the real number line, numbers whose distance to point 2 is less than half the distance to point $-4$ form the solution set of which of the following inequalities?\\
A) $| x - 2 | < | x + 4 |$\\
B) $| x + 2 | < | x - 4 |$\\
C) $| 2 x - 4 | < | x + 4 |$\\
D) $| 2 x - 4 | < | x - 4 |$\\
E) $| 2 x + 4 | < | x + 4 |$

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