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anyanavicka [17]
3 years ago
8

Describe the steps you would use to solve the following inequality

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

\frac{x + 1}{2x - 3}  > 2 \\ x + 1 > 2(2x - 3) \\ x + 1 > 4x - 6 \\  - 3x  + 1 >  - 6 \\  - 3x >  - 7x  \\ x <  \frac{7}{3}
You might be interested in
A. Identify all pair of parallel in the diagram.
12345 [234]

Answer:

Parallel: G and F

perpendicular: G & H, F & H

Step-by-step explanation:

G and F are parallel because they will never cross, where as both are perpendicular to H because they intersect at 90°

4 0
3 years ago
For which value(s) of x will the rational expression below equal zero? Check all that apply.
Ivahew [28]

Answer: D.-6 and F.3

Step-by-step explanation:

The given rational number : \dfrac{(x-3)(x+6)}{(x+7)}

To find : The value of x  , where the  rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7  , \dfrac{(7-3)(7+6)}{(7+7)}=\dfrac{26}{7}\neq0

B. -7

At x= 7 ,  \dfrac{(-7-3)(-7+6)}{(-7+7)}=\dfrac{10}{0}=\infty\neq0

C. 6

At x= 6 ,  \dfrac{(6-3)(6+6)}{(6+7)}=\dfrac{36}{13}\neq0

D. -6

At x= -6 , \dfrac{(-6-3)(-6+6)}{(-6+7)}=\dfrac{0}{1}=0

E. -3

At x= -3 ,   \dfrac{(-3-3)(-3+6)}{(-3+7)}=\dfrac{-9}{2}\neq0

F. 3

At x= 3 , \dfrac{(3-3)(3+6)}{(3+7)}=0

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

8 0
3 years ago
Read 2 more answers
To make 1c1/2 dozen muffins, a recipe uses 3 1/2 cups of flour. How many cups of flour are needed for every dozen muffins made?
vazorg [7]
I think it might be 3/7
7 0
3 years ago
Whay percent of 25 is 12?
Tcecarenko [31]

Answer:

48% of 25 is 12.

Step-by-step explanation:

To find : what percent of 25 is 12?

Solution : Let x be the percentage of 25 which is 12

So, by the statement

x% of 25 = 12

Now, we have to calculate the value of x

Step 1- Write the expression

\frac{x}{100} \times 25 = 12

Step 2- divide 25 by 100

\frac{x}{4} = 12

Step 3- Cross multiply

x=48

Therefore, 48% of 25 is 12.


7 0
3 years ago
What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.
bekas [8.4K]

a^2 +b^2 = (2.5sqrt(2))^2

2a^2 = 6.25 *2

a^2 = 6.25

a = sqrt(6.25)

a = 2.5

 length of each side = 2.5 units

6 0
3 years ago
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