Answer:
#1- linear
#2- linear
#3- linear
#4- nonlinear
Step-by-step explanation:
A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear. A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A non linear looks like a u shape when graphed and a linear equation looks like a diagonal or straight line when graphed.
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Answer:
a) Эx ∈ R ⊇ x³ = 2
b) ∀x ∈ R, x² ≥ 0
c) Эx ∈ R ⊇ x³ = x
d) ∀x ∈ R, x ≤ x²
Step-by-step explanation:
Given the data in the question;
let us first go through some symbols and their possible meanings;
Э ⇒ there exists
∀ ⇒ for all
∈ ⇒ belongs to or set membership or element of the set
⊇ ⇒ such that
now;
a) There is a number whose cube is equal to 2
let x represent the number; so
Эx ∈ R ⊇ x³ = 2
b) The square of every number is at least 0
x² ≥ 0, ∀x ∈ R
∀x ∈ R, x² ≥ 0
c) There is a number that is equal to its square
Эx ∈ R ⊇ x³ = x
d) Every number is less than or equal to its square.
x ≤ x², ∀x ∈ R
∀x ∈ R, x ≤ x²
Answer:
C
Step-by-step explanation:
I substituted the x value with the different options. I kept doing that until the equation made sense.
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