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emmasim [6.3K]
2 years ago
13

Solve each of the following inequalities for y.

Mathematics
1 answer:
pogonyaev2 years ago
7 0

Answer:

a. y < 5

b. y < 24

c. y > 3

d. y < 30

Step-by-step explanation:

a. 12y < 60

12y/12 < 60/12

y < 5

b. y/8 < 4

8/1 * y/8 < 4 * 8/1

y < 24

c. 3y > 9

3y/3 > 9/3

y > 3

d. y/5 < 6

5/1 * y/5 < 6*5

y < 30

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The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

To solve for the y-intercept, set x = 0:

3(0) - 3y + 9 = 0
3(0) - 3y + 9 = 0

Subtract 9 from both sides:
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Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3
y = 3

Therefore, the y-intercept is (0, 3).

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). It is also the value of x when y = 0.

To solve for the x-intercept, set y = 0:

3x - 3(0)+ 9 = 0
3x -0 + 9 = 0

Subtract 9 from both sides:
3x + 9 - 9 = 0 - 9
3x = -9

Divide both sides by 3 to solve for x:

3x/3 = -9/3
x = -3

Therefore, the x-intercept is (-3,0).

The correct answers are:
Y-intercept = (0, 3)
X-intercept = (-3, 0)
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