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2 years ago

10 < –2b or 2b + 3 > 11

1 answer:

5 0

10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.

10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).

2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).

It may be helpful to graph these sets.

If you really do mean "10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.

You might be interested in

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

2 years ago

Find The Difference. 1) 8.5-7.6= 2)-2.5-17.8= 3 -2.9-(-7.5)= 4) 3.5-1.9=

Dahasolnce [82]

Answer:

1. 0.9

2. -20.4

3. 4.6

4. 1.6

8 0

2 years ago

Read 2 more answers

Which sign makes this statement true

Vesna [10]

Answer:

The = sign

Step-by-step explanation:

1 11/20 = 31/20 = 1.55 and 1.55 =1.55

3 0

2 years ago

Read 2 more answers

Write an algebraic expression that Marshall can use to determine the total cost of buying a watermelon that weighs w pounds and

VMariaS [17]

Answer:

The answer is that the cost will be a total of: $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight and tomato weight.

An equation would be:

.68w + 3.25t = Total cost

For 185 lb of Watermelon and 5 lbs of tomatoes:

.68(185) + 3.25(5) =

$125.80 + $16.25 = $142.05

3 0

2 years ago

There are 751 identical plastic chips numbered through 751 in a box.

den301095 [7]

Answer:

1.1331

Step-by-step explanation:

Divided 100 by 751

7 0

2 years ago