Question

Solve the inequality and describe the solution set.
y

–

6

≥

12

Answer 1

I will only need the math please.

Answer 2

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.

Answer 3

Solve the equation.

c
4
−
5
=
4

Answer 4

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, ∞).

Answer 5

Fair enough! Here's the math:

y - 6 ≥ 12

Add 6 to both sides:

y ≥ 18

And we're done!

Answer 6

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.

Answer 7

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.