8. Which graph correctly shows the solution of the compound inequality 3x > 3 and 9x < 54?
1 answer:
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)
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Step-by-step explanation:
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Answer:
Option B and D are correct.
Step-by-step explanation:
Given: A line passes through the points (2,4) and (5,6).
* Case 1:
If a line passes through the points (2, 4) and (5, 6)
Point slope intercept form:
for any two points and
then the general form for linear equations where m is the slope given by:
First calculate slope for the points (2, 4) and (5, 6);
then, by point slope intercept form;
* Case 2:
If a line passes through the points (5, 6) and (2, 4)
First calculate slope for the points (5, 6) and (2, 4);
then, by point slope intercept form;
Yes, the only equation of line from the given options which describes the given line are;
and