Mathematics, 21.10.2019 14:30 alyssaboosiefkes

Which inequality will have a solid boundary line and a shaded region above its graph?

x − y ≥ 3

2x − 3y ≤ 3

3y − x < 2

2x + y < 7

Answers: 3

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Answer from: expeditionofsin

A solid line means either ≥ or ≤

So either A or B

Above the graph: Must be greater than y

B

Answer from: burnsmykala23

B. 2x − 3y ≤ 3

Step-by-step explanation:

We are required to find the graph having solid boundary line.

When a graph have soled boundary line. Then, the inequality will have the equality sign in it.

That is, strict inequality can never have a solid boundary line.

So, option C and D are discarded.

Further, the graph must have shaded region above the graph.

Now, the region above the graph means that, the inequality must be of the form y ax+b .

So, we have,

$x-y\geq 3$ implies $y\leq x-3$

So, option A is not correct.

But, $2x-3y\leq 3$ implies $y\geq \frac{2x}{3}-1$

Thus, the inequality having solid boundary and graph above is $2x-3y\leq 3$ .

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + $\frac{15}{100}$ * x

4500-875 = $\frac{15}{100}$ * x

3625= $\frac{15}{100}$ * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x = $\frac{36250}{15}$

x= $2416.6

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Which inequality will have a solid boundary line and a shaded region above its graph?

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