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
natima [27]
3 years ago
13

3x-7>8 and -3x ≥-36 solve the inequality

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Good evening,

Answer:

x > 5

x ≤ 12

Step-by-step explanation:

Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.

On a number line, an inequality sign without the “equal to” is plotted with an open circe.

An inequality sign, with the “equal to” is plotted with a closed circle.

3x - 7> 8

Add seven on both sides, we do this because we want to eliminate the 7 from one side.

3x > 15

Divide both sides by 3, we do this because you want to get rid of the 3 from x.

x > 5

As for the second inequality.

Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.

x ≤ 12

For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.

For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.

A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.

You might be interested in
HELP!
Anastasy [175]

Answer:

A.

Step-by-step explanation:

All terms are even. This means it either has to be A. or B. Since 24 is an even number, two even numbers are always added together. So A. is the correct answer.

8 0
3 years ago
Read 2 more answers
Y=2x-2 and 4x+2y=12. solve the equation PLEASE SHOW WORK​
diamong [38]
<h3>The solution as an ordered pair is (x,y) = (2,2)</h3><h3>x = 2 and y = 2 pair up together.</h3>

===============================

Work Shown:

4x+2y = 12

4x+2( y ) = 12

4x+2( 2x-2 ) = 12 ... replace y with 2x-2

4x+2( 2x ) + 2( -2 ) = 12 ... distribution rule

4x+4x-4 = 12

8x-4 = 12

8x-4+4 = 12+4 ... add 4 to both sides

8x = 16

8x/8 = 16/8 ... divide both sides by 8

x = 2 is the first part of the answer

Use x = 2 to find y

y = 2x-2

y = 2(2)-2 ... replace x with 2

y = 4-2

y = 2 is the second part of the answer

8 0
3 years ago
Read 2 more answers
Evaluate x+1 when x = 2.5
lina2011 [118]
Plug in 2.5 for x and you get

2.5+1 which equals 3.5
5 0
3 years ago
Find the distance CD rounded to the near
DanielleElmas [232]

the distance between cd rounded to the nearest tenth is ≈ 7

4 0
3 years ago
A discounted ticket for a football game costs $12.50 less than the original price.you pay $63 for a discounted ticket
Tanya [424]

Answer:

the original price is 75.50

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
    12·1 answer
  • Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late deliv
    14·2 answers
  • Total of 40 white and yellow cars. There are 9 times as many white as yellow cars. How many white cars?
    7·2 answers
  • Other than replacing the equal sign with some sort of inequality sign, what is the one big difference we need to keep in mind wh
    8·1 answer
  • Here is an inequality: -2x&gt;12 select 3 values for x that would make this inequality true
    12·1 answer
  • Consider the equation showing the distributive property.
    5·1 answer
  • • How many newspapers did the two<br> girls bring in altogether each day?
    6·1 answer
  • Can someone help me solve for x
    15·1 answer
  • What is the value of "c" in the following quadratic? (Make sure the equation is in
    10·1 answer
  • Simplify 2x^2-7x-4/x^2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!