Question

Write a value in each region that makes the inequality or inequalities true. 2x-1>3 and 3(x-3)<0

Answer 1

Answer:

Region 1 : 3

Region 2: 2

Step-by-step explanation:

Given the inequalities :

2x - 1 > 3 and 3(x-3)<0

To obtain a value inneachbregionwhicj makes the inequality or inequalities true, we solve for x

Inequality 1 :

2x - 1 > 3

Add 1 to both sides

2x - 1 + 1 > 3 + 1

2x > 4

Divide both sides by 2

2x/2 > 4/2

x > 2

(3, 4,..)

Inequality 2:

3(x-3)<0

3x - 9 < 0

Add 9 to both sides

3x - 9 + 9 < 0 + 9

3x < 9

Divide both sides by 3

3x/3 < 9/3

x < 3

(2, 1,,)