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Hunter-Best [27]
4 years ago
11

If a + 1 = b, then b > a.

Mathematics
2 answers:
photoshop1234 [79]4 years ago
8 0
<h2>Answer with explanation:</h2>

A)

When a is positive:

     Let us consider a=10

      and a+1=b

       This implies that:

          b=11

     As we know that 11>10

           Hence, b>a

When a is negative:

   Let us consider a= -2

      and a+1=b

       This implies that:

          b= -1   (Since -2+1= -1 )

     As we know that -1 > -2

           Hence, b>a

B)

No, it is not possible to create a set of values for a and b such that the numerical relationship shown in the given conditional statement is false .

Since as we no that no matter whether a is positive or negative we always have:

                        a < a+1

Hence,      a< b  ( Since b=a+1 )

for all the values of  a and b.

kogti [31]4 years ago
4 0
If a=-10;then:
a+1=-10+1=-9=b
-9>-10

if a=10; then
a+1=10+1=11=b
11>10
A)The pair of values for a and be are: a=-10, then the value of b would be: -9;
And a=10; then the value of b would be:11;

B) It isn´t possible to create a pair of values for a and be, in wich the numerical relationship shown in the given conditional stament is false, therefore b>a if a+1=b
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Solve the inequality and graph the solution<br> 4x-5&gt;7
ohaa [14]

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

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4x - 5 + 5 > 7 + 5

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Divide both sides by 4:

4x/4 > 12/4

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The solution can also be expressed in the following interval notation:

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In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.  

5 0
3 years ago
A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice. A. How much sparkling w
cluponka [151]

Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.

Step-by-step explanation:

Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.

Since, for recipe of sparkling grape juice , they should be used in same proportion.

Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

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We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.

Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

\frac{3.75}{y}=\frac{1.5}{0.75}\\\Rightarrow\ y=\frac{3.75\times0.75}{1.5}\\\Rightarrow\ y=1.875

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.


4 0
3 years ago
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