Question

Write an absolute value equation that has the solutions x=8 and x=18. Use the shift of the button above the 'enter' for absolute value symbols and don't type capitals or spaces.

a.|x-13| = 5
b.|x-18| = 8
c.|x-8| = 18
d.|x-13| = 8

Answer 1

The correct absolute value equation that has the solutions x = 8 and x = 18 is b. |x-18| = 8.

Step-by-step explanation:

An absolute value equation is of the form |x – a| = b, where a is the shift and b is the distance from the shift. In this case, the given solutions are x = 8 and x = 18, so we need an equation with shifts at 8 and 18. Since the absolute value of a number is always positive, the equation should be |x - 8| = 10, and |x - 18| = 10. Therefore, the correct equation is b. |x-18| = 8.