1 of 8 0-day streak

Analyse signs and solve a quadratic inequality

Question 1 of 8

No calculator

Consider the following quadratic inequality over the real numbers

\left(x + 5\right)\left(x\right) < 0

Use exact values. Analyse the sign of the left side after it has been compared with zero

(a)2 marks

Find and order the real critical values

Lower critical value Upper critical value

(b)1 mark

Which statement gives the sign on the intervals from left to right?

positive when x<-5, negative when -5<x<0, and positive when x>0

negative when x<-5, positive when -5<x<0, and negative when x>0

Which set of real x-values satisfies the inequality?

Every real value of x

Values of x between -5 and 0, excluding both boundary values

Values of x below -5 or above 0, excluding both boundary values

No real value of x

(d)2 marks

Enter the finite boundary values in ascending order

Lower finite boundary Upper finite boundary

(e)1 mark

Are the finite boundary values included in the solution?

Include the finite boundary values in the solution

Exclude the finite boundary values from the solution

There are no finite boundary values to include