Answer:
x = - 2, x = - 1
Step-by-step explanation:
Given
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
75 and three are the rate at which the total number of mice increases
8x - 5 ≥ 27
8x ≥ 32 <-- Add 5 to both sides
x ≥ 4 <-- Divide both sides by 8
So, to be in solution set, x has to be greater or equal to 4.
In interval notation: [4, ∞)
In a set builder notation: {x | x ∈ R, x ≥ 4}
A and D are your answers.
They have an Infinite number of solutions because when the equations are put into slope-intercept form (y=mx+b), they end up having the same slope (m) and the same y-intercept (b).
