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vazorg [7]
3 years ago
9

Which is the best interpretation of the solution set for the compound inequality?

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

  all real numbers

Step-by-step explanation:

Here is the solution to the first inequality:

  3(2x +1) > 21 . . . . . . given

  6x +3 > 21 . . . . . . . . eliminate parentheses

  6x > 18 . . . . . . . . . . .subtract 3

  x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

__

The solution to the second inequality is ...

  4x +3 < 3x + 7 . . . . given

  x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

__

The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.

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5 8/25 as a decimal show work
bekas [8.4K]

Answer:

Split the number into the whole number component and fraction component.

5 8/25= 5+8/25.

For the denominator, recognize that

25×4=100.

Multiple =4.

Multiply the numerator and the denominator by the multiple 4.

8×4/ 25×4.

Simplify.

32/100=0.32

Combine the whole number component with the decimal.

5+0.32=5.32

<h3>I hope this helps</h3>

3 0
3 years ago
A caterpillar moves at a constant speed of 1/2 inches per second. Let x represent the time travel in seconds and y represent the
Anika [276]

Step-by-step explanation:

Expression = 1/2x = y

Easy algebraic expression

~Done~

5 0
2 years ago
Does anyone know what 8x1/6 is?
mario62 [17]
Answer: 1.333333333333333333334
5 0
3 years ago
Read 2 more answers
A business plants trees on 2/4 acre of land each month for 7 months. how many acres of land does the business plant with trees a
sweet [91]

Answer:

C) 14/4

Step-by-step explanation:

Multiply the amount of land per month by the number of months.

(2/4)(7) = 14/4 acres

7 0
2 years ago
7. The ratio of black cars to silver cars in a parking lot is 7:4. If there is a DIFFERENCE of 12 more black cars than silver ca
QveST [7]

Answer:

Step-by-step explanation:

Let B be the number of black cars and S the number of silver.  

We know that B/S = 7/4

We also know that B - S = 12

Rearrange the first:  B = 7S/4

B - S = 12

7S/4 - S = 12

7S - 4S = 48

3S = 48

S = 16

B/S = 7/4

B/16 = 7/4

4B = 112

B = 28

B + S = 44 cars

I can't add the tape diagram here, but show two ribbons (tapes) for each car color and drawn so one can see the relative numbers of each.

8 0
2 years ago
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