Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours, s, she can use the boat. Emilia's Model x=6 02 4 6 8 10 12 14 Are Emilia's inequality and number line correct? Explain your reasoning by completing the statements. Click the arrows to choose an answer from each menu. Emilia's inequality, I < 6 is Choose... because the number of hours is Choose... Emilia's number line is Choose... . The endpoint Choose... filled in and the number line Choose... of the endpoint​

Given :-

Given :- Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours .

→ Emilia inequality for x number of hours = x ≤ 6 .

since, she pays $24 for upto 6 hours , she can use boat from 0 hours to maximum 6 hours .

therefore, Emilia's inequality x ≤ 6 is correct because the number of hours is less than or equal to 6 .

now, from image, we can see that, Emilia uses number line from 0 hours to 14 hours in number line .

But correct number should be from 0 hours to 1,2,3,4,5 and 6 hours only .

therefore, Emilia's number line is incorrect . The endpoint is filled in and the number line is greater than the endpoint.

Step-by-step explanation:

17.08

correct me if i am wrong.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true