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This problem trains for: SAT-I.

Given the following number line:

figure

which of the following statements is false?

Since:

equation

equation

equation

Statement A is true.

Since:

equation

equation

it follows that:

equation

equation

Statement B is true.

Since:

equation

Statement C is true.

Since:

equation

equation

equation

Adding the last two inequalities, we obtain:

equation

Statement D is false.

Statement E is obviously true since any absolute value is positive, unless it is zero.