1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir1956 [14]
3 years ago
14

Solve the following inequality: x^2-8x + 7>0

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

The solution lie in  (-\infty,1)\cup(7,\infty)

Step-by-step explanation:

Given : Inequality x^2-8x+7>0

To find : Solve the inequality?

Solution :

First we convert the inequality into equation,

x^2-8x+7=0

Solving by middle term split,

x^2-7x-x+7=0

x(x-7)-1(x-7)=0

(x-7)(x-1)=0

x=7,1

Use each root to create test intervals,

x

For x<1, let x=0

0^2-8(0)+7>0

0-0+7>0

7>0

True.

For 1<x<7, let x=3

3^2-8(3)+7>0

9-24+7>0

-8>0

False.

For x>7, let x=8

8^2-8(8)+7>0

64-64+7>0

7>0

True.

Therefore, The inequality form is x<1 or x>7.

The interval notation is (-\infty,1)\cup(7,\infty)

You might be interested in
Find the circumference of a circle with a radius of 2.5 cm
solmaris [256]
C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm
8 0
3 years ago
What does area mean for a figure
krek1111 [17]
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.

Have a wonderful day
8 0
4 years ago
What is 265,200 rounded to the nearest hundred thousand
MaRussiya [10]

265,000

Hope this helps!

6 0
3 years ago
Read 2 more answers
30×50= <br>A.150<br><br>B.1500<br><br>C.50
Over [174]
Hey, your answer is B.1500. Hoped I helped! 
3 0
3 years ago
Pls help this is to confusing for me
zepelin [54]

Answer:

Reduction; scale factor of \frac{1}{3}.

Step-by-step explanation:

Hope this helps!

=)

8 0
3 years ago
Other questions:
  • LCM of 10 and 16. if anyone could respond it would be appreciated!
    15·2 answers
  • A garden hose can fill a hot tub in 360 ​minutes, whereas the drain on a hot tub can empty it in 600 minutes. If the drain is ac
    11·1 answer
  • ║×i could really use some help the answers are multiple choice as well× ║
    6·1 answer
  • Will mark brainliest Evaluate the expression 7x2y, when x = 5 and y = 3.
    7·1 answer
  • You estimate the distance from your house to your school to be 1.6 miles. The actual distance is 1.9 miles. Find the percent err
    7·1 answer
  • Indicate in standard form the equation of the line passing through the given points. P(6, 2) , Q(8, -4)
    12·1 answer
  • Find y.<br> Round to the nearest tenth:<br> 29<br> 500 ft<br> y = [? ]ft
    14·1 answer
  • The maximum distance (in nautical miles) that a radio transmitter signal can be sent is represented by the expression 1.23h√
    8·1 answer
  • How do you solve this?
    14·1 answer
  • If there are 50 trees in 4 acres of land. how many are there in 10 acres of land​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!