Q. Which is the set of integers greater than −6 and less than or equal to −2?Choices:(A) {−6,−4,−2}(B) {−5,−4,−3,−2}(C) {−6,−5,−4,−3,−2}(D) {−5,−4,−3}
Identify Inequality: Identify the inequality that represents the condition "greater than −6 and less than or equal to −2".Inequality: -6 < x \leq -2
Determine Integers: Determine the set of integers that satisfy the inequality -6 < x \leq -2. The integers greater than −6 are −5,−4,−3,−2,−1,0,1,2,… However, we need to stop at −2 because the inequality states that x must be less than or equal to −2.
Exclude −6 from Set: Exclude −6 from the set because the inequality specifies that x must be greater than −6, not equal to it.The set of integers that satisfy the inequality is {−5,−4,−3,−2}.