jjgandj jjgandj
  • 14-06-2019
  • Mathematics
contestada

What property is used in the second step of solving the inequality below?
5x-9<91
5x<100
x<20

Respuesta :

luisejr77
luisejr77 luisejr77
  • 14-06-2019

Answer:

The Multiplication  property

Step-by-step explanation:

The Multiplication  property by a constant was used

For real numbers a and b, and c different from zero:

If c is positive and [tex]a <b[/tex] then [tex]a*\frac{1}{c} <b*\frac{1}{c}[/tex].

If c is negative and [tex]a <b[/tex] then [tex]a*\frac{1}{c} >b*\frac{1}{c}[/tex].

In this case we have

[tex]5x<100[/tex]  Then  [tex]\frac{5}{5}x<\frac{100}{5}[/tex]

Finally

[tex]x<20[/tex]

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