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The opposite of z is greater than 5. a. What are two possible values of z? What are two values that z cannot be? What must be true about all possible values of z? Show your work.​

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MrRoyal

The values of z are illustration of the absolute value inequality

  • The possible values of z are -6 and -7
  • The values that cannot be z are 6 and 7
  • All values of z are negative numbers less than -5

The possible values of z

The opposite of z is greater than 5.

So, we have the following absolute value inequality

[tex]|z| > 5[/tex]

Expand

[tex]z > 5[/tex] or [tex]z < -5[/tex]

5 is a positive number.

So, we make use of the inequality [tex]z < -5[/tex]

From the above inequality, the possible values of z are -6 and -7

Note that there are other values of z

The values that z cannot be

In (a), we have:

[tex]z > 5[/tex] or [tex]z < -5[/tex]

The values that z cannot be, are represented with the inequality [tex]z > 5[/tex]

From the above inequality, z cannot be 6 and 7

The true statement about the values of z are, they are all negative numbers less than -5

Read more about the absolute value inequality at:

https://brainly.com/question/13344207

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