Question

1) 3х>- 18; 2) -8х< 32; 3) 5у> 16; 4) 6, 5у> 13; 5) -8х> 24 6) 7, 5<30

Answer 1

1) х>-6
2) х<-4
3) у>3,2
4) у>2
5) х>-3
6) х<4

Answer 2

To solve these inequalities, let's simplify and find the values of the variables that satisfy each inequality:

1. 3x > -18: Divide both sides by 3 to isolate x: x > -18/3 x > -6

2. -8x < 32: Divide both sides by -8, remembering to reverse the inequality since we're dividing by a negative number: x > 32/(-8) x > -4

3. 5y > 16: Divide both sides by 5 to isolate y: y > 16/5

4. 6.5y > 13: Divide both sides by 6.5 to isolate y: y > 13/6.5 y > 2

5. -8x > 24: Divide both sides by -8, remembering to reverse the inequality: x < 24/(-8) x < -3

6. 7.5 < 30: This is already a true statement, so it doesn't provide any restrictions on the variables.

In summary:

1. x > -6
2. x > -4
3. y > 16/5
4. y > 2
5. x < -3
6. No restrictions on variables.

Please note that the inequalities involving y do not have specific values for y but provide a lower limit for the variables.