Solve tne compound inequality

4x+2>= -22 or 7x+2>= -19

Thank you

4x+2>= -22

Subtract 2 from both sides.

4x > -24

Divide both sides by 4

x > -6

Use a similar process with the other inequality.

To solve the compound inequality, we will solve each inequality separately and then combine the solutions.

First, let's solve the inequality 4x+2 >= -22:

Step 1: Subtract 2 from both sides of the inequality:
4x >= -22 - 2
4x >= -24

Step 2: Divide both sides of the inequality by 4 (since the coefficient of x is 4):
x >= -24/4
x >= -6

Now, let's solve the inequality 7x+2 >= -19:

Step 1: Subtract 2 from both sides of the inequality:
7x >= -19 - 2
7x >= -21

Step 2: Divide both sides of the inequality by 7 (since the coefficient of x is 7):
x >= -21/7
x >= -3

Now, combining the solutions for both inequalities:

The first inequality, 4x+2 >= -22, gives us x >= -6.
The second inequality, 7x+2 >= -19, gives us x >= -3.

Since we have "or" between the inequalities, we need to find the union of both solutions.

Therefore, the solution to the compound inequality 4x+2 >= -22 or 7x+2 >= -19 is x >= -6 or x >= -3.