Question

1) (1+X) < 0,3 2) (2+X)<0,2 3) (3-X)< 2/3. 4) (1-X)<3/4

Answer 1

• 1)(1+x)<0,3

x<0,3-1

x<-0,7

• 2)(2+x)<0,2

x<0,2-2

x<-1,8

• 3)3-x<2/3

-x<2/3-3

-x<-2 1/3

x>2 1/3

• 4)(1-x)<3/4

-x<3/4-1

-x<-1/4

x>1/4

Answer 2

Let's solve the inequalities one by one:

1. (1+X) < 0.3: To solve this inequality, we need to isolate X on one side of the inequality sign. 1 + X < 0.3 Subtracting 1 from both sides: X < 0.3 - 1 X < -0.7

2. (2+X) < 0.2: Similar to the previous inequality, we'll isolate X. 2 + X < 0.2 Subtracting 2 from both sides: X < 0.2 - 2 X < -1.8

3. (3-X) < 2/3: To solve this inequality, we'll isolate X. 3 - X < 2/3 Subtracting 3 from both sides: -X < 2/3 - 3 -X < 2/3 - 9/3 -X < (2 - 9)/3 -X < -7/3 Multiplying both sides by -1 (remembering to flip the inequality sign since we're multiplying by a negative number): X > 7/3

4. (1-X) < 3/4: Again, we'll isolate X. 1 - X < 3/4 Subtracting 1 from both sides: -X < 3/4 - 1 -X < 3/4 - 4/4 -X < (3 - 4)/4 -X < -1/4 Multiplying both sides by -1 (remembering to flip the inequality sign): X > 1/4

To summarize the solutions:

1. X < -0.7
2. X < -1.8
3. X > 7/3
4. X > 1/4

These are the solution ranges for each inequality.