contestada

Which of the following is the solution to [ x +11k 17 ?
O A. x< 6 and x < -28
O B. x< 6 and x>-28
O C. x<6
O D. x< 6 or x>-28

Respuesta :

Considering the absolute value inequality [tex]|x + 11| < 17[/tex], the solution is:

  • A. x< 6 and x < -28

The absolute value function is defined by:

[tex]|f(x)| = x, x \geq 0[/tex]

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

  • It measures the distance of a point x to the origin.

Hence, the inequality:

[tex]|f(x) < a|[/tex]

Has solution given by:

[tex]-a < f(x) < a[/tex]

In this problem, the inequality is:

[tex]|x + 11| < 17[/tex]

Then:

[tex]-17 < x + 11 < 17[/tex]

[tex]x + 11 > -17[/tex]

[tex]x > -28[/tex]

[tex]x + 11 < 17[/tex]

[tex]x < 6[/tex]

Both conditions are necessary, hence, option a is correct.

To learn more about absolute value, you can take a look at https://brainly.com/question/24514895

Otras preguntas