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1< a+7/-2

The is supposed to be written like a fraction so think
A+7
____
-2


Sagot :

Answer:

We get the value of a: [tex]\mathbf{a<-9}[/tex]

Step-by-step explanation:

We have to solve the inequality [tex]1<\frac{a+7}{-2}[/tex]

So, solving the inequality and finding value of a

First step is to switch both sides and for doing so, the inequality will be reversed

[tex]\frac{a+7}{-2}>1[/tex]

Multiply both sides by -2, as we are multiplying by a negative number, the inequality will be reversed

[tex]\frac{a+7}{-2}\times -2<1\times -2[/tex]

[tex]a+7 < -2[/tex]

Now, subtracting both sides by 7, to find value of a

[tex]a+7-7<-2-7\\a<-9[/tex]

We get the value of a: [tex]\mathbf{a<-9}[/tex]