contestada

Solve each of the following inequalities for x. a. 3 + x > 8 b. x + 12 < 10 c. x – 23 > 15 d. x – 49 <6

Respuesta :

Answer:

a. 3 + x > 8 Subtract 3 from both sides of the in equality.

3 − 3 + x > 8 − 3 Answer: The value of x is any number greater than 5.

x > 5

b. x + 12 < 10 Subtract 12 from both sides of the inequality.

x + 12 − 12 < 10 − 12 Answer: The value of x is any number less than −2.

x < −2

c. x − 23 > 15 Add 23 to both sides of the inequality.

x − 23 + 23 > 15 + 23 Answer: The value of x is any number greater than 38.

x > 38

d. x − 49 < 6 Add 49 to both sides of the inequality.

x − 49 + 49 < 6 + 49 Answer: The value of x is any number greater than 55.

x < 55

Step-by-step explanation:

straight from Penn

After solving each inequality. We get,    

    a.      [tex]x>5\\[/tex]   b. [tex]x<-2[/tex]    c. [tex]x>38[/tex]   d.  [tex]x<55[/tex]

Inequalities are,

a.  

                      [tex]3+x>8\\\\x>8-3\\\\x>5[/tex]

b.

                    [tex]x+12<10\\\\x<10-12\\\\x<-2[/tex]

c.

                   [tex]x-23>15\\\\x>23+15\\\\x>38[/tex]

d.

                   [tex]x-49<6\\\\x<49+6\\\\x<55[/tex]

Learn more:

https://brainly.com/question/15816805