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
seropon [69]
2 years ago
5

Solve the following inequality 4x+15≥x+6

Mathematics
2 answers:
WINSTONCH [101]2 years ago
8 0

Answer:

  • \boxed{\sf{x\geq -3}}

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

<u>First, subtract by 15 from both sides.</u>

4x+15-15≥x+6-15

<u>Solve.</u>

4x≥x-9

<u>Then, you subtract by x from both sides.</u>

4x-x≥x-9-x

<u>Solve</u>.

3x≥-9

<u>Divide by 3 from both sides.</u>

3x/3≥-9/3

<u>Solve.</u>

<u>Divide the numbers from left to right.</u>

-9/3=-3

\Longrightarrow: \boxed{\sf{x\geq -3}}

  • <u>Therefore, the correct answer is x≥-3.</u>

<u></u>

I hope this helps, let me know if you have any questions.

Mariana [72]2 years ago
4 0

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

<u>Given inequality:</u>

  • 4x + 15 ≥ x + 6

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

  • ⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)
  • ⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15
  • ⇒ 3x ≥ -9

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

  • ⇒ 3x/3 ≥ -9/3
  • ⇒ x ≥ -3

Therefore, the solution is x ≥ -3.

You might be interested in
The area of a rectangle is 99 square inches. What is the new area of the rectangle if the height were five times long and the ba
garri49 [273]

Answer:

330 square inches

Step-by-step explanation:

99 x 5 =495

495 x 2/3 =330

8 0
3 years ago
Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
Elan Coil [88]

Answer:

yes

Step-by-step explanation:

by giving us a question and letting us answer it

3 0
2 years ago
Read 2 more answers
The average of 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9, than what is the average of the
liberstina [14]
Total value of 11 numbers
14*11
154

Total value of 9 numbers
9*9
81

Total value of other 2 numbers
154 - 81
73

So average of other 2 numbers
73 / 2
36.5
3 0
3 years ago
How does solving the equation arithmetically compare to solving an equation algebraically
IRISSAK [1]
In an arithmetic equation, there is no variable in the 'meat' of the equation(example: 5-5=0). In an algebraic equation, there is a variable in the meat of the equation(example: 5-x=0).
Hope this helps and please give brainliest!
4 0
3 years ago
How many tenths are in one whole?how many hundredths?
Nat2105 [25]
10/10 in 1 whole and 1/100 in one whole
4 0
3 years ago
Other questions:
  • What is the area of a rectangle with a length 20 yd and a width of 16 yd?
    11·2 answers
  • 2−6(−5t+1) im stuck please help. Also you can't simplify it all the way
    8·2 answers
  • There is a gap of 1 metre.  You put a table into the gap.   The table is 70 centimetres wide. how much space is left?
    7·2 answers
  • A line passes through (9,-8) and has a slope of negative 4/3
    11·1 answer
  • 100 points please help asap I will also give brainiest! 100 points please HELP asap!!! (05.01)Which statement best describes the
    8·2 answers
  • Chad and his son go into a grocery store and need to buy bananas. Each banana costs $0.90 and Chad has a total of $11 to spend.
    5·1 answer
  • AT LEAST how many cubes like this one need to be joined together to form another LARGER SIZED CUBE?
    9·2 answers
  • Leroy found a job listed in the classified ads that pays a yearly salary of $42,000. What is his monthly salary?
    14·1 answer
  • Simplify √100+ √36 .
    10·1 answer
  • PLEASE HELP ILL GIVE BRAINLIESTTTT!!!!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!