Question

What is another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 ?

Answer 1

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Explanation:

Another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 is to use the "and" symbol to connect the two inequalities:

2 ≤ y + 3 ≤ 6

This compound inequality can also be written using the "interval notation," which represents a range of values that a variable can take:

[2, 6]

This notation means that the solution set for the compound inequality is the set of all values of y that are greater than or equal to 2 and less than or equal to 6. In other words, the solution set is all values of y that lie within the closed interval from 2 to 6, including 2 and 6 themselves.

For example, if y is 3, the compound inequality is satisfied because 3 is within the interval [2, 6]. If y is 7, the compound inequality is not satisfied because 7 is not within the interval [2, 6].

Answer 2

The first option is correct because it still has the fact that 2 is less than/equal to y+3, which is the same as saying y+3 is greater than/equal to 2. It also still has the fact that 6 is greater than y+3.