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kati45 [8]
3 years ago
13

Use complete sentences to describe the process in proving that the solution of an inequality is valid.

Mathematics
1 answer:
saul85 [17]3 years ago
7 0
≥The solution of an inequality is an interval, i.e. a range.

To prove that the interval found as solution, you must consider several cases.

1) In the case that the ineguailty is ≥ or ≤, first use the limits of the interval to prove they are valid solutions. This is, replace the limit values, one at a time, and verifiy the inequality.

2) If the sign is ≥ or > use a value to the right of the limit value to show that the values to the right are solution, and use a value to the left to show that they are not solution.

3) If the sign is ≤ or <, use a value to the left of the limit value to show that it is a solution and a value to the right of the limit value to show that it is not a solution. 
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etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x
nata0808 [166]

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

3 0
3 years ago
HELPPPP ASAP iwill give brain
finlep [7]

Answer:

Day 3 : 6 Day 2: 4 Day 1: 2 and so on

Step-by-step explanation:

This may not be correct but i think that you multiply the day number by two.

6 0
2 years ago
Read 2 more answers
Write In Simplifed Form 14(5x-8y)
MrMuchimi
<span>Unary minus: -8
</span><span>Multiple: 5 * (-8) = -40
</span><span>Multiple: 14 * (-40) = -560
The answer is -560

</span>
4 0
3 years ago
First right answer for both gets brain
Katena32 [7]
D. He made 55 snacks
6 0
3 years ago
Testing to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0
klemol [59]

Answer:

b) B and D and c) A and C

Step-by-step explanation:

The hypotheses would be:

H_0: p =0.75\\H_a: p >0.75

(Right tailed test at 5% level)

Sample proportions are

Sample              A                 B                C                 D

Success            31               34               27               38

Proportion p     0.775         0.85            0.675          0.95

Std error

(sqrtpq/n)          0.066        0.056          0.074          0.034

p diff

p-0.75               0.025        0.10             - 0.075        0.20

Z stat                  

p diff/SE            0.0757       1.77                 1.01          5.80

p value               0.469       0.038             0.156       0.000001

we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.

b) Only B and D provide against the null.  Because p <0.05

c) A and C provide no evidence for the alternative because p >0.05

8 0
3 years ago
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