Solve the compound inequality.≥−4y5−29 or >−2y62Write the solution in interval notation.If there is no solution, enter ∅.

Let's solve the compound inequality step by step.

First, let's solve the first inequality: ≥−4y5−29

Step 1: Add 29 to both sides to isolate the term with y. ≥−4y5

Step 2: Multiply both sides by 5 to further isolate y. ≥−4y

Step 3: Divide both sides by -4. Remember, when you divide or multiply an inequality by a negative number, you must flip the inequality sign. ≤y

So, the solution to the first inequality is y ≤ .

Now, let's solve the second inequality: >−2y62

Step 1: Divide both sides by 62 to isolate y.

−2y

Step 2: Divide both sides by -2. Remember to flip the inequality sign. <y

So, the solution to the second inequality is y < .

In interval notation, the solution to the compound inequality is (-∞, ) ∪ (, ∞).