Question

1) 8x < -16 2)3x<103)-6x> -25

Answer 1

Решение во вложении

Answer 2

To solve the inequalities, let's address each one separately:

1. 8x < -16

To solve for x, divide both sides by 8. However, when dividing an inequality by a negative number, the direction of the inequality sign changes:

x < -16 / 8 x < -2

So, the solution for the first inequality is x < -2.

2. 3x < 10

To solve for x, divide both sides by 3:

x < 10 / 3

Now, simplify the fraction:

x < 3.333...

So, the solution for the second inequality is x < 3.333... (approximately).

3. -6x > -25

To solve for x, divide both sides by -6. Since we're dividing by a negative number, the inequality sign will change direction:

x < (-25) / (-6)

Now, divide:

x < 25/6

Now, simplify the fraction:

x < 4.166...

So, the solution for the third inequality is x < 4.166... (approximately).

In summary:

1. x < -2
2. x < 3.333... (approximately)
3. x < 4.166... (approximately)