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Solve the inequality and describe the solution set.
y
–
6
≥
12
••
To solve the inequality, we need to isolate y on one side.
y - 6 ≥ 12
Adding 6 to both sides:
y ≥ 18
The solution set is all real numbers greater than or equal to 18. We can represent this using interval notation as [18, ∞) or with set builder notation as {y | y ≥ 18}.
To solve the inequality y - 6 ≥ 12, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate y.
y - 6 + 6 ≥ 12 + 6
y ≥ 18
Step 2: Flip the inequality sign if you multiply or divide both sides by a negative number. In this case, there is no multiplication or division, so we don't need to flip the sign.
Step 3: Express the solution set in interval notation.
The solution set to the inequality is all values of y greater than or equal to 18. In interval notation, we can write this as: [18, ∞)