Solve |x| < 13 A. {-13, 13} B. x C. x

Question

Solve |x| < 13

A. {-13, 13}
B. -13< x < 13
C. x < -13, x> 13

Answer 1

the solution for x will be given by x

Therefore the correct option is B.

Explanation:

i) given that |x| < 13

ii) therefore x < 13 for positive values of x

iii) for negative values of x we have -x < 13

therefore x > -13

iv) from ii) and iii) above we can conclude that the solution for x will be given by -13 < x < 13

Therefore the correct option is B.