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.