Respuesta :

Answer: [tex]3r+8<-12[/tex].

Step-by-step explanation:

It is given that three times a number r plus 8 is fewer than −12.

We need to write the sentence as an inequality.

Three times a number r = 3r

Times a number r plus 8 = 3r+8

Fewer than = less than = <

So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is

[tex]3r+8<-12[/tex]

Therefore, the required inequality is [tex]3r+8<-12[/tex].

The inequality that describes the sentence is:

[tex]3r + 8 < -12[/tex]

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  • 3 times 1 is [tex]3 \times 1 = 3[/tex], 3 times 2 is [tex]3 \times 2 = 6[/tex], and so on, thus 3 times a number r is [tex]3 \times r = 3r[/tex].
  • The plus word means that we have an addition operation, plus 8, thus [tex]3r + 8[/tex]
  • Fewer than -12 means that the less than -12 completes the inequality, thus:

[tex]3r + 8 < -12[/tex]

Which is the inequality that describes this situation.

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