Question

5(x-2)<3x-8 4x+1<3x-1

Answer 1

$\infty \infty \infty \infty \infty \infty \infty \infty \infty \infty$

Answer 2

Let's solve each inequality step by step:

1. 5(x - 2) < 3x - 8

First, distribute the 5 on the left side:

5x - 10 < 3x - 8

Now, subtract 3x from both sides to isolate the x term:

5x - 3x - 10 < -8

Combine like terms:

2x - 10 < -8

Next, add 10 to both sides:

2x - 10 + 10 < -8 + 10

2x < 2

Finally, divide both sides by 2 to solve for x:

2x/2 < 2/2

x < 1

So, the solution to the first inequality is x < 1.

2. 4x + 1 < 3x - 1

First, subtract 3x from both sides to isolate the x term:

4x - 3x + 1 < -1

Combine like terms:

x + 1 < -1

Now, subtract 1 from both sides:

x + 1 - 1 < -1 - 1

x < -2

So, the solution to the second inequality is x < -2.

In summary, the solutions to the given inequalities are:

1. x < 1
2. x < -2