Question

1)х-3<10 4)3х+1>-14 2)7+х>2 5)8х-5<113)х+41>-10 6)1,2х+2>0,4

Answer 1

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Answer 2

To solve these inequalities, we'll perform the necessary operations to isolate the variable 'x'. Remember that whenever you multiply or divide by a negative number, you need to flip the inequality sign. Let's solve each inequality step by step:

1. х - 3 < 10 Add 3 to both sides to isolate х: х - 3 + 3 < 10 + 3 х < 13

2. 7 + х > 2 Subtract 7 from both sides to isolate х: 7 + х - 7 > 2 - 7 х > -5

3. 8х - 5 < 11 Add 5 to both sides to isolate х: 8х - 5 + 5 < 11 + 5 8х < 16

Now, divide both sides by 8 (and remember to flip the inequality sign since we are dividing by a positive number): x < 16/8 x < 2

4. 3х + 1 > -14 Subtract 1 from both sides to isolate х: 3х + 1 - 1 > -14 - 1 3х > -15

Now, divide both sides by 3 (and remember to flip the inequality sign since we are dividing by a positive number): x > -15/3 x > -5

5. х + 4 > -10 Subtract 4 from both sides to isolate х: х + 4 - 4 > -10 - 4 х > -14

6. 1.2х + 2 > 0.4 Subtract 2 from both sides to isolate х: 1.2х + 2 - 2 > 0.4 - 2 1.2х > -1.6

Now, divide both sides by 1.2 (and remember to flip the inequality sign since we are dividing by a positive number): x > -1.6 / 1.2 x > -1.3333 (rounded to four decimal places)

So, the solutions for each inequality are as follows:

1. x < 13
2. x > -5
3. x < 2
4. x > -5
5. x > -14
6. x > -1.3333 (rounded to four decimal places)