All categories

3 years ago

8. Which graph correctly shows the solution of the compound inequality 3x > 3 and 9x < 54?

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

The answer is shown in the image attached

Compound inequality is an inequality made up of two inequalities joined together using 'or' or 'and'.

Given the inequalities 3x > 3 and 9x < 54. Solving both inequalities gives:

3x > 3 and 9x < 54

x > 1 and x < 6

x > 1 is equivalent to x ∈ (1, ∞)

x < 6 is equivalent to x ∈ (-∞, 6)

Therefore, combining the two inequalities together gives:

(1, ∞) ∩ (-∞, 6) = (1, 6)

Find out more at: brainly.com/question/24540195

You might be interested in

HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE

postnew [5]

Answer:

The line equation in slope-intercept form is:

$y\:=-\frac{2}{5}x+4$

Hence, option D is true.

Step-by-step explanation:

Given the points

(0, 4)

(5, 2)

Finding the slope between the points

$\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2-4}{5-0}$

$m=-\frac{2}{5}$

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

$y = mx+b$

$y\:=-\frac{2}{5}x+4$

Therefore, the line equation in slope-intercept form is:

$y\:=-\frac{2}{5}x+4$

Hence, option D is true.

6 0

2 years ago

No links pls

lutik1710 [3]

Answer:

D.) 9*pi >27

Step-by-step explanation:

9*pi = 28.2743338823...

28.2743338823... > 27

D.) 9*pi > 27 = True

Regards!

8 0

2 years ago

What is equivalent to k/2

Mazyrski [523]

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

8 0

2 years ago

0.8x = 12. Solve for X. PLEASEEE HELPPP!!

kenny6666 [7]

Answer:

x-15

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Question 4

g100num [7]

A, 3x5=15 and 3x8=24

4 0

2 years ago

Read 2 more answers