To solve these kinds of problems, it is necessary to isolate x:
9(2x + 1) <span>< 9x - 18
Distribute 9:
18x + 9 </span><span>< 9x - 18
Subtracting 9 from both sides of the equation:
18x + 9 - 9 </span><span>< 9x - 18 - 9
18x </span><span>< 9x - 27
Subtracting 9x from both sides of the equation:
18x - 9x </span><span>< 9x - 27 - 9x
9x </span><span>< -27
x </span><span>< -3
Therefore, values of x </span><span>< -3 will satisfy the given equation.</span>
-3 < x < -8
There is no value of c that is greater than -3 AND less that -8
Answer:
See below.
Step-by-step explanation:
a.
x = cost of adult ticket
y = cost of student ticket
cost of adult ticket is twice the cost of a student ticket
x = 2y
number of adult tickets = 64
number of student tickets = 132
cost of all adult tickets = 64x
cost of all student tickets = 132y
cost of all adult and student tickets combined: 64x + 132y
cost of all adult and student tickets combined: 1040
This gives us the equation:
64x + 132y = 1040
b.
Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.
64(2y) + 132y = 1040
128y + 132y = 1040
260y = 1040
y = 1040/260
y = 4
x = 2y = 2(4) = 8
adult ticket: $8
student ticket: $4
It’s 6w than less than symbol negative 21
