Solve the inequality and describe the solution set.
y
–
6
≥
12
Subtracting 6 from both sides, we get:
y ≥ 18
This inequality means that y is greater than or equal to 18. The solution set is all numbers greater than or equal to 18. Written in interval notation, the solution set is [18, ∞).
I will only need the math please.
Fair enough! Here's the math:
y - 6 ≥ 12
Add 6 to both sides:
y ≥ 18
And we're done!
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. Then we can write an algebraic equation to represent the situation as:
15x + 35 = 95
To solve for x, we can start by subtracting 35 from both sides:
15x = 60
Then, we can divide both sides by 15:
x = 4
Therefore, Gabriella skied for 4 hours.
Solve the equation.
c
4
−
5
=
4
To solve for c, we can start by multiplying both sides of the equation by the denominator 4:
c/4 - 5 = 4
c/4 = 4 + 5
c/4 = 9
To isolate c, we can multiply both sides by 4:
c = 36
Therefore, the solution to the equation is c = 36.