All categories

3 years ago

What is a solution to an inequality?

Mathematics

1 answer:

fomenos3 years ago

5 0

Answer:

a number that is substituted in an inequality that makes the inequality a true statement.

EXAMPLE :

x + 2 < 7 ; x= 4

1) substitute 4 into the inequality

4 + 2 < 7

2) solve ( add 4 and 2 together )

6 < 7

the number 4 is a solution to the inequality because 6 < 7 is true.

You might be interested in

The area of a rectangular carpet is 252 square feet. The length is nine feet more than the width. Find the length and the width

Whitepunk [10]

Answer:

<h3>Length = 30 feet </h3><h3>Width = 21 feet </h3>

Given - Length is nine feet more

Area is 252

To find -  Value of length and width

Solution- 

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

Solving the equation by splitting middle term

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21

3 0

2 years ago

4 + x/7 =2 Solve a -14. b 10. c 12 d 42

Mnenie [13.5K]

Answer:

-14

Step-by-step explanation:

4 + x/7 =2

x/7= -2

x= -2 * 7

-14

5 0

3 years ago

In which step did the veterinarian make the first error? Step 1 Step 2 Step 3 Step 4

inna [77]

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

4 0

3 years ago

It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can lea

UkoKoshka [18]

8:50 am

1/3 of 30 = 10 min (so it takes 10 min for him to drive to work)

9:00-10min = 8:50

5 0

3 years ago

Evaluate exactly without the use of a calculator (remember to rationalize any denominators). a.(cos 60o)(sin 270o) + tan 225o b.

Rom4ik [11]

Given:

The trigonometric expressions are given as,

$\begin{gathered} a)\text{ }(\cos 60\degree)(\sin 270\degree)+\tan 225\degree \\ b)-\tan 240\degree+(cos45\degree)(\sec 135\degree) \end{gathered}$

Explanation:

The given expression can be rewritten as,

$=(\cos 60\degree)(\sin (360\degree-90\degree))+\tan (270\degree-45\degree)\text{ . . . . .(1)}$

Since, from the trigonometric ratios,

$\begin{gathered} \sin (360\degree-90\degree)=-\sin 90\degree \\ \tan (270\degree-45\degree)=\cot 45\degree \end{gathered}$

On plugging the obtained ratios in equation (1),

$=(\cos 60\degree)(-\sin 90\degree)+\cot 45$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =\frac{1}{2}(-1)+1 \\ =-\frac{1}{2}+1 \\ =\frac{1}{2} \end{gathered}$

Hence, the exact value of the expression is 1/2.

The given expression can be rewritten as,

$=-\tan (270\degree-30\degree)+(\cos 45\degree)(\sec (90\degree+45\degree))\text{ . . . ..(2)}$

Since, from the trigonometric ratios,

$\begin{gathered} \tan (270\degree-30\degree)=\cot 30\degree \\ \sec (90\degree+45\degree)=-\csc 45\degree \end{gathered}$

On plugging the obtained ratios in equation (2),

$=-\cot 30\degree+(\cos 45\degree)(-\csc 45)$

Substitute the trigonometric values in the above equation.

$\begin{gathered} =-\sqrt[]{3}+\frac{1}{\sqrt[]{2}}(-\sqrt[]{2}) \\ =-\sqrt[]{3}-1 \end{gathered}$

Hence, the exact value of the expression is -√3-1.

7 0

2 years ago