The table shows the lowest elevations for several states. Is the absolute value of the lowest elevation of California greater than or less than the absolute value of the lowest elevation of Illinois?

Oklahoma: 289 
Illinois: 279 
Kentucky: 257
California: -282

Respuesta :

The absolute value of the lowest elevation in California is greater than the absolute value of the lowest elevation in Illinois.

Answer:

Absolute value of the lowest elevation of California greater than the absolute value of the lowest elevation of Illinois

Step-by-step explanation:

We are given the following in the question:

Lowest elevations for several states:

Oklahoma: 289  

Illinois: 279  

Kentucky: 257

California: -282

Absolute Value Function can be defined as:

[tex]f(x) = |x|,\\\\f(x) = x, x > 0\\~~~~~~~ = 0, x = 0\\~~~~~~~ = -x, x < 0[/tex]

Absolute value of the lowest elevation of California:

[tex]f(-282) = -(-282) = 282[/tex]

Absolute value of the lowest elevation of Illinois:

[tex]f(279 ) =279[/tex]

Since,

[tex]282 > 279[/tex]

Absolute value of the lowest elevation of California > Absolute value of the lowest elevation of Illinois.

Thus, absolute value of the lowest elevation of California greater than the absolute value of the lowest elevation of Illinois