To solve the inequality, we want to isolate the variable y on one side of the inequality symbol. We can do this by adding 6 to both sides of the inequality:
y - 6 + 6 ≥ 12 + 6
Simplifying, we get:
y ≥ 18
This means that any value of y that is greater than or equal to 18 will make the inequality true. The solution set is therefore:
{y | y ≥ 18}
This can also be written as [18, ∞) in interval notation, meaning that the solution set consists of all numbers from 18 and infinitely upward on the number line.
Therefore, 18 is a part of the solution set, but it is not the answer to the inequality. The answer is all numbers greater than or equal to 18.
Solve the inequality and describe the solution set.
y – 6 ≥ 12.
the answer is 18 but explain why
3 answers
Gabriella went skiing. She paid $35 to rent skis and $15 an hour to ski. If she paid a total of $95, how many hours did she ski? Write an algebraic equation to represent the situation and solve it.
Let x be the number of hours Gabriella skied. The total cost of skiing is the sum of the cost of renting skis and the cost of skiing for x hours.
Algebraic equation:
35 + 15x = 95
To solve for x, we can first isolate the variable by subtracting 35 from both sides of the equation:
15x = 60
Then, we can solve for x by dividing both sides by 15:
x = 4
Therefore, Gabriella skied for 4 hours.
Algebraic equation:
35 + 15x = 95
To solve for x, we can first isolate the variable by subtracting 35 from both sides of the equation:
15x = 60
Then, we can solve for x by dividing both sides by 15:
x = 4
Therefore, Gabriella skied for 4 hours.