Use de morgan's law to negate the following statements. a. vx(x > 5) b. 3.(x2+2x + 1 = 0)

a)

b) or the set

Step-by-step explanation:

First, notice that in both cases we have to sets:

a) is the set of all real numbers which are higher than 5 and in

b) the set is the solution of the equation which is the set

De Morgan's Law for set states:

, being and are the complements of the sets and . is the union operation and the intersection.

Thus for:

a) . Notice that is the complement of the given set.

b) which is the set

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a