bm0278329 bm0278329
  • 24-03-2020
  • Mathematics
contestada

ax - b< c solve inequality for x

Respuesta :

jacknjill jacknjill
  • 31-03-2020

Solution for inequality [tex]ax - b< c[/tex] is [tex]x< \frac{b+c}{a}[/tex] .

Step-by-step explanation:

Here we have , the following inequality to solve for x , ax - b< c  .Let's do it:

ax - b< c

⇒ [tex]ax - b< c[/tex]

Adding both sides b

⇒ [tex](ax - b)+b< c+(b)[/tex]

Simplifying

⇒ [tex](a)x < b+c[/tex]

Dividing both sides by a

⇒ [tex]\frac{(a)x}{a} < \frac{b+c}{a}[/tex]

⇒ [tex]x< \frac{b+c}{a}[/tex]

Therefore , Solution for inequality [tex]ax - b< c[/tex] is [tex]x< \frac{b+c}{a}[/tex] .

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