Absolute Value And Reciprocal Functions (20-1)

Question 1

Solve |x-3|=7.

Answer 1

x=10, x=-4

Question 2

Solve |2x+1|=9.

Answer 2

x=4, x=-5

Question 3

Solve |x+4|<6.

Answer 3

-10<x<2

Question 4

Solve |3x-5|≥7.

Answer 4

x≤-2/3 or x≥4

Question 5

Solve 1/x=2.

Answer 5

x=1/2

(x≠0)

Question 6

Solve 2/(x-3)=5.

Answer 6

x=3.4

(x≠3)

Question 7

Solve y=1/x for y=4.

Answer 7

x=1/4

(x≠0)

Question 8

Find domain of f(x)=1/(x+2).

Answer 8

x≠-2

Question 9

Solve |x-2|+3=8.

Answer 9

x=7, x=-3

Question 10

Solve |2x+5|-4=0.

Answer 10

x=-0.5, x=-4.5

Question 11

Solve |x+1|=|2x-3|.

Answer 11

x=2, x=4

Question 12

Solve |3x-2|<5.

Answer 12

-1<x<7/3