Determine the intersection X ∩ Y. Express the answer in interval notation.X = {x | x ≥ -2} and Y = {x | x < -6}Select one:a. (-6, -2]b. [-6, -2)c. { }d. (-∞, -6] (-2, ∞)Clear my choice
Question
Determine the intersection X ∩ Y. Express the answer in interval notation.X = {x | x ≥ -2} and Y = {x | x < -6}Select one:a. (-6, -2]b. [-6, -2)c. { }d. (-∞, -6] (-2, ∞)Clear my choice
Solution
The intersection of the sets X and Y is determined by finding the values that are common to both sets.
Set X includes all values greater than or equal to -2. Set Y includes all values less than -6.
There are no values that are both greater than or equal to -2 and less than -6 at the same time.
Therefore, the intersection of sets X and Y is an empty set.
In interval notation, an empty set is represented as { }.
So, the correct answer is c. { }.
Similar Questions
Determine the intersection X ∩ Y. Express the answer in interval notation.X = {x | x ≥≥18} and Y= {x | x < 11}Select one:a. (11, 18]b. { }c. (-∞, 11] U (18, ∞)d. [11, 18)
Solve and give interval notation for the solution set. Then graph the solution set.-6x + 1 ≥ 13 or 3x + 3 ≥ -9
−2(−2x−2)<2x−6−2(−2𝑥−2)<2𝑥−6 Step 1 of 2 : Write the solution using interval notation.
Graph the interval on a real number line.[6,∞)
or real numbers c and d, c < d, recall that (c, d] = {b ∈ R : d ≥b > c} and that (c, d) = {b ∈ R : d > b > c}. Find the set of all realnumbers in ∩u∈(0,1)(−u2, 1]
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.