1)which of the following inequalities is equivalent to 1 ≥ x ?
a)x ≥ 1
b)x ≥ -1
c)x ≤ -1
d)x ≤ 1

2)the sum of five times a number and four is equal to negative eleven. what is the number?
a)-2
b)-3
c)-4
d)-5

3)what is the solution set of -11 > 1 + a ?

a)a < -12
b)a > -12
c)a < -10
d)a > -10

4)how would you graph the solution to x/3 ≤ -2?

a)draw a closed circle on -6 and shade to the right.
b)draw a closed circle on -6 and shade to the left.
c)draw an open circle on -6 and shade to the right.
d)draw an open circle on -6 and shade to the left.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!