Respuesta :

Three times a number =   3x

Increased by 8 =               + 8

So far we have:  3x + 8

no more than =    <=  

the number decreased by 4 =  x -4

Put it all together and we have:

3x + 8 <= x - 4

Solve for x

3x + 8 <= x - 4

3x - x <= -4 - 8

2x <= -12

2x / 2 <= -12 / 2

x <= -6

-6 is the number / answer.


Lanuel

The unknown number in this exercise is equal to -6.

  • Let the unknown number be n.

An inequality is a mathematical relation that is used to compare two (2) variables or integers by showing any of the following:

  • If one is less than (<).
  • If one is greater than (>).
  • If one is less than or equal to the other (≤).
  • If one is greater than or equal to the other (≥).

Translating the word sentence into an algebraic expression, we have;

Three times a number increased by 8:

[tex]3n+8[/tex]    ....equation 1.

The number decreased by 4:

[tex]n-4[/tex]   ...equation 2.

Equating the two equations, we have:

[tex]3n+8\leq n-4\\\\3n-n\leq -4-8\\\\2n\leq -12\\\\n\leq -6[/tex]

n = -6

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