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lyudmila [28]
3 years ago
9

Solve the following compound inequality: x is greater than or equal to 2 or x is less than 2

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

9514 1404 393

Answer:

  x is any real number

Step-by-step explanation:

Think about it. Any number is either less than 2, equal to 2, or greater than 2.

The solution set is <em>all real numbers</em>.

You might be interested in
Keiko determined that the coordinate points (–4, 0), (–3, –1), and (2, –6) are solutions to the following system. y = − x − 4 y
Bess [88]

Answer:

only (-4,0) is a reasonable solution.

Step-by-step explanation:

In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.

y = -x - 4

y = x² + x - 12

For (-4, 0):

0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)

0 = (-4)² - 4 - 12 -> 0 =  16 - 16 -> 0 = 0 (valid)

For (-3, -1):

-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)

-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)

For (2, -6):

2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)

2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)

Therefore only (-4,0) is a reasonable solution.

7 0
3 years ago
Which value of y below is the solution to the system shown below. A) y=6 B) y=-1 C) y=-4 D) y=8
Grace [21]

Answer:

D

Step-by-step explanation:

given the 2 equations

x + 2y = 27 → (1)

2x + 3y = 46 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 27 - 2y ← substitute into (2)

2(27 - 2y) + 3y = 46

54 - 4y + 3y = 46

54 - y = 46 ( subtract 54 from both sides )

- y = - 8 ( multiply both sides by - 1 )

y = 8 → D

4 0
3 years ago
Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off
Dovator [93]

Answer:

Step-by-step explanation:

as the chart is broken into steps with the same precision we're looking for. Just choose the one where height is closest to zero or 0.6 s

To do it mathematically

The equation is

h = 2 - ½gt²

to find g, plug in a time and height

0.236 = 2 - ½g(0.6²)

g = 9.8 m/s

check another one just to be sure

1.559 = 2 - ½(9.8)0.3²

1.559 = 1.559

now plug in zero elevation with an unknown time

0 = 2 - ½(9.8)(t²)

-2 = - ½(9.8)(t²)

t² = 4/9.8

t = 0.6388765...

t = 0.6 s

5 0
3 years ago
Read 2 more answers
You must SHOW ALL YOUR WORK that is necessary to answer the question. If you submit the answer with no supporting work, you will
aliya0001 [1]

Answer:

1. $441.75

2. $456.50

Step-by-step explanation:

Question 1:

9.5 × 40 = 385

Jim will earn $385 dollars from his regular without overtime every week (pretend that he did not get paid overtime from that week.)

Since he got 40 regular hours plus 6.5 hours for overtime, his pay from last week is $441.75

9.5 × 46.5 = $441.75

Question 2:

Since she has gotten over $5000 in sales from that week, she earned $456.50

8550 - 5000 = $3550

3% of 3550 = 106.5

$350 + $106.5 = $456.50

Her expected total earning from that week is $456.50

4 0
3 years ago
WILL GIVE BRAINLIEST! HELP!
ki77a [65]

Answer:

(ii) is correct, please proceed.

Step-by-step explanation:

5 0
4 years ago
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