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
dimulka [17.4K]
3 years ago
9

Please help me with problem 2 of Inequalities in Two Variables

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

With inequalities,

< means less than

> means greater than.

Both are represented by a dotted line.

&le; means less than or equal

&ge; means greater than or equal,

Both are represented by a solid line.

To construct the inequality x<2 we would switch the < to an equal sign, and construct the equality, namely x=2, which is a vertical line passing through (2,0).

From the previous comments, we know that x<2 is a dotted line.

Now we have to decide the inequality applies to which side of the line.

One way is to take some test points, e.g. the origin (0,0) where x=0.

Since x=0 is less than two, we know that (0,0) satisfies the inequality, so the area to the left of the vertical line (x=2) satisfies the inequality.

Hence the proper graph would show the left side shaded, but at x=2, the vertical line should be dotted.

An even simpler rule to find the region is to see that "x < something" is to the left, and "x > something" is to the right of a vertical or a slanted line.


You might be interested in
What is the equation of a line with a slope of -1 and a y-intercept of -5​
g100num [7]

Answer:

-x-5

Step-by-step explanation:

Not even going to explain this

8 0
3 years ago
An astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. How much would a person weigh on the moon if th
STatiana [176]

Answer:

Weight on the moon=x=15.87 kilograms

Step-by-step explanation:

This can be expressed as;

Weight on earth=Constant×Weight on moon

where;

Weight on moon=14.2 kilograms

Constant=k

Weight on Earth=85 kilograms

Replacing in the expression above;

85=14.2×k

k=(85/14.2)=5.986

If the person weighs 95 kilograms on Earth;

Weight on the earth=Constant×Weight on moon

where;

Weight on the moon=x

Constant=5.986

Weight on the earth=95 kilograms

Replacing;

95=5.986×x

x=95/5.986=15.87

Weight on the moon=x=15.87 kilograms

4 0
3 years ago
If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose
Nata [24]
Owner would lose out on $100
5 0
3 years ago
Helps me solve this problem please
AysviL [449]

Answer:

The slope is -3/7 so B

Step-by-step explanation:

Just turn this into slope-intercept form.

what you do is subtract 3x so that it's moved to the right side.

It should look like this -7y = 12 - 3x

Then just divide all numbers by 7 so everything is simplified

It should look like this y = -3/7x - 12/7

pls mark brainliest because i didn't waste you time lol

8 0
3 years ago
a basket contains 3 green 4 yellow 5 blue and 6 red tickets one of which is randomly selected probability of drawing a green or
elixir [45]

Answer: 21

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Bob is 35 and susan is 30 years old, find the ratio of his age to hers_____
    14·2 answers
  • David has 85 white eggs and 28 brown eggs. He puts 6 eggs into each tray and fills as many trays as he can. How many eggs are le
    14·1 answer
  • If UW = 6x - 35, find UW.
    5·2 answers
  • A gallon of water weighs 8.354 pounds. Simon uses 11.81 gallons of water while taking a shower. About how many pounds did Simon
    15·1 answer
  • Bob is trying to determine how much fence he needs to surround his house. He determined the length has a distance of 56 ft and t
    13·1 answer
  • I need help plz ASAP
    7·2 answers
  • Find the volume of the oblique cone shown round to the nearest tenth
    10·1 answer
  • Jack could paint his house in 9 days while jack and Jill working together could paint the house in 5 days. how long would it tak
    8·2 answers
  • What is the answer to a/9 =−4
    5·1 answer
  • 1. Annie and her friends are playing a game called Doubles. In the game, a player
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!