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LiRa [457]
2 years ago
5

Solve the compound inequality for x and identify the graph of its solution.

Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

You might be interested in
A rectangle has a length that is 4 units longer than the width. If the width is increased by 7 units and the length increased by
Savatey [412]

Answer:

A = (x + 7)(x + 9)

Step-by-step explanation:

Let the width w = x

then length l = w + 4 = x + 4

Area =  length x width

        = x(x+4)

Then the the width is increased by 7 units and the length increased by 5 units.

w = x + 7

l = (x + 4) + 5 =x + 9

A = (x + 7)(x + 9)

5 0
3 years ago
Read 2 more answers
You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl
alexandr402 [8]
To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89
3 0
3 years ago
Read 2 more answers
Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
kirza4 [7]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

-3.5 means -(3 + \frac{1}{2})

In other words, -3.5 = -3\frac{1}{2}

When we draw two numbers -3\frac{1}{3} and -3\frac{1}{2} on a number line, -3\frac{1}{2} comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, -3\frac{1}{2} is smaller than -3\frac{1}{3}.

-3\frac{1}{2}

Lauren is not correct.

3 0
2 years ago
Brad says that if a second number is 125% of the first number than the second number must be 75% of the second number is he corr
elena-s [515]

Answer:

Incorrect.

Step-by-step explanation:

Let, the first number is x, and the second number is y. Given, the second number is 125% of the first number. So, the equation will be

y = 1.25 x

Or, y= 5/4x

Now, multiplying it with 4/5, we get, x= 4/5y

Or, x= 0.80 y

But, Brad is saying the first number must be 75% of the second number. But here we see that the first number is 80% of the second number. That's why Brad is incorrect.

5 0
3 years ago
PLEASE HELP!!! A group has at most $140 to spend on an event space. The inequality 15h + 40 140 represents the cost to rent the
Zielflug [23.3K]

9514 1404 393

Answer:

  h ≤ 6 2/3

Step-by-step explanation:

The inequality is presumed to be ...

  15h +40 ≤ 140

  15h ≤ 100

  h ≤ 6 2/3

__

The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.

3 0
2 years ago
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