Question

Solve the inequality. -3 + 5x < 7x - 5 A) x > 4 B) x < 4 C) x > 1 D) x <

Answer 1

X = >1

Step-by-step explanation:

We have the following imbalance in this situation: -3 + 5x < 7x - 5

7x is subtracted from both sides of the inequality, giving us:

The main sign is added after other signs are eliminated.

To both sides of the inequality, we add 3:

On both sides of the inequality, we divide by 2:

In order to account for the fact that the sense of inequality changes, we multiply by -1 on both sides:

All values of "x" larger than 1 provide the answer.

X = >1

Answer 2

For this case we have the following inequality:

`-3 + 5x <7x-5`

Subtracting 7x from both sides of the inequality we have:

`-3 + 5x-7x <-5`

Different signs are subtracted and the major sign is placed.

`-3-2x <-5`

We add 3 to both sides of the inequality:

`-2x <-5 + 3\\-2x <-2`

We divide between 2 on both sides of the inequality:

`-x <\frac {-2} {2}\\-x <-1`

We multiply by -1 on both sides taking into account that the sense of inequality changes:

`x> 1`

The solution is given by all the values of "x" greater than 1.

Answer:

`x> 1`