Which represents the solution set of the inequality 5x-9321?
1 answer:
Answer:
The solution set is the interval (-∞ , 6] <em>OR </em> {x : x ≤ 6}
Step-by-step explanation:
* Lets explain how to find the solution set of the inequality
- The inequality is 5x - 9 ≤ 21
∵ 5x - 9 ≤ 21
- At first add 9 to both sides of the inequality to separate x in one
side and the numbers in the other sides
∴ 5x - 9 + 9 ≤ 21 + 9
∴ 5x ≤ 30
- Lets divide both sides of the inequality by 5 to find the values of x
∴ (5x ÷ 5) ≤ (30 ÷ 5)
∴ x ≤ 6
- The solutions of the inequality is all real numbers smaller than
or equal to 6
∴ The solution set is the interval (-∞ , 6] <em>OR </em> {x : x ≤ 6}
- We can represent this inequality graphically to more understand
for the solution
- From the graph the solution set is the purple area
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Answer:
D
Step-by-step explanation:
The formula we need to solve this is:
Where
is the distance from one focus to the vertex
is the second distance from another focus to same vertex
<u>Note:</u> Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci
is half the length of the major axis (which is 9 here since total major axis is given as 18)
<em>Now we can plug into the equation and solve:</em>
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<em>D is the correct answer.</em>