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den301095 [7]
3 years ago
7

Find the solution set of x+3>19-3x, where x is a real number ​

Mathematics
2 answers:
il63 [147K]3 years ago
7 0

Answer:

x>4

Step-by-step explanation:

x+3>19-3x

x+3x>19-3

4x>16

x>4

Dennis_Churaev [7]3 years ago
3 0

Answer:

x > 4

Step-by-step explanation:

  • x+3>19-3x
  • x+3x +3 > 19
  • 4x > 19 -3
  • 4x > 16
  • x > 16/4
  • x > 4

Solution set:

  • x= (4, + ∞), x∈R

Solution set as set builder notation:

  • A= {x | x>4, x∈R}
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DanielleElmas [232]

Answer:

(n-2)(n+2)

Step-by-step explanation:

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.

 (n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...

 (n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

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Step-by-step explanation:

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3 years ago
The high school soccer team can have no more than 26 players. Write and solve an inequality to determine how many more players c
Mariana [72]

Answer:

The inequality to determine how many more players can make the team is:

x+17\leq 26

On solving it we get : x\leq 9

Thus, the number of players that can still make in the team must be no more than 9.

Step-by-step explanation:

Given:

Maximum number of players the soccer team can have = 26

Number of players already chosen by coach = 17

To find how many players can still make the team.

Solution:

<em>Let the players that can still make the team be = </em>x

Players already chosen = 17

<em>Total number of players in the team can be given as =</em> x+17

Total numbers must not exceed 26.

So, the inequality can be written as:

x+17\leq 26

Solving for x

Subtracting both sides by 17.

x+17-17\leq 26-17

∴ x\leq 9

Therefore, no more than 9 players can still make in the soccer team.

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3 years ago
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