Question

Write the solution of the inequality in set builder notation 7-3d>28

Answer 1

D<-7
d
Hope this helps!

Answer 2

{ x : x is a real number less than -7 }

Explanation:

Given inequality,

`7-3d>28`

`\implies -3d > 28 - 7`

`\implies -3d > 21`

`\implies d < -7` ( a > b ⇒ na < nb if n < 0 )

That is, all real numbers less than -7,

Now, in set builder form we state the properties of the elements of the set by using the mathematical symbol under the flower bracket {} .

Thus, the required set would be,

{ x : x is a real number less than -7 }