Determine whether the statement is true or false Justify you

Determine whether the statement is true or false. Justify your answer.

The solution set of the inequality 5/2x²+5x+100 is the entire set of real numbers

Solution

5/(2x^2 +5x+10)>=0

testing points

5/(2x^2 +5x+10)=0

ot will give negative values for x.

Yherefore thegiven statenent is true.