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3 years ago

Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5.

Mathematics

1 answer:

den301095 [7]3 years ago

4 0

Hello,

1) 2x-3<x+2 ==>x<5

2) x+2<=3x+5==>-2x<=3==>x>=-3/2

Thus : -3/2<=x<3

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2 years ago

Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st

notka56 [123]

Options

(A)g(5) = 12
(B)g(1) = -2
(C)g(2) = 4
(D)g(3) = 18

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

The value(s) of x must be between -1 and 4
The values of g(x) must be between 0 and 18.
g(-1)=2
g(2)=9

We consider the options and state why they are true or otherwise.

Option A: g(5)=12

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

Option B: g(1) = -2

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

Option C: g(2) = 4

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

Option D: g(3) = 18

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

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3 years ago

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2 years ago

The figure shows triangle ABC with medians AF, BD, and CE. Segment AF is extended to H in such a way that segment GH is congruen

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Answer: Segment GD is parallel to segment HC.

Step-by-step explanation:

In ΔAHC

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As BD is the median of ΔABC bisecting AC at D

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Read 2 more answers

Is the answer -5r + 5

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-5(r-1)
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