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Solve the system of inequalities and indicate all the integers which are in the solution set: The answer isn't an inequality like -5

Solve The System Of Inequalities And Indicate All The Integers Which Are In The Solution Set The Answer Isnt An Inequality Like 5 class=

Sagot :

mhanifa

Answer:

  • {- 4, - 3, -2, -1, 0, 1, 2, 3}

Step-by-step explanation:

Solve each inequality in the system:

  • 3 - 2a < 13 ⇒ 2a > 3 - 13 ⇒ 2a > - 10 ⇒ a > - 5
  • 5a < 17  ⇒ a < 17/5 ⇒ a < 3.4

The solution is:

  • - 5 < a < 3.4

The integer solution set is:

  • {- 4, - 3, -2, -1, 0, 1, 2, 3}

[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]

[tex]\\ \rm\rightarrowtail -2a<10[/tex]

[tex]\\ \rm\rightarrowtail -a<5[/tex]

[tex]\\ \rm\rightarrowtail a>-5[/tex]

And

[tex]\\ \rm\rightarrowtail 5a<17[/tex]

[tex]\\ \rm\rightarrowtail a<17/5[/tex]

[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]

So

solution set

[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]

So

  • a={-4,-3,-2,-1,0,1,2,3}
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