9x+5greater than or equal to -40 or 7x+3greater than or equal to -11

solve and graph

I got the answer of x greater than or equal -5 or x is greater than or equal to -2 as the solution to this equations, but how do i put this into a soltuion set the way that they want it set up is {x|x greather than or equal to __________}
How do i fill in this blank when i have two different answers

To solve and graph the inequalities, let's solve each inequality individually.

1. 9x + 5 >= -40:
Subtract 5 from both sides:
9x >= -40 - 5
9x >= -45
Divide both sides by 9 (since the coefficient of x is 9, we divide both sides by 9 to isolate x):
x >= -45/9
x >= -5

2. 7x + 3 >= -11:
Subtract 3 from both sides:
7x >= -11 - 3
7x >= -14
Divide both sides by 7 (since the coefficient of x is 7, we divide both sides by 7 to isolate x):
x >= -14/7
x >= -2

Now that we have the solutions for both inequalities, we need to find the intersection of the two solution sets. Since both inequalities have the "greater than or equal to" symbol, the common solution set is the set of values that satisfy both conditions.

In this case, the common solution set is x >= -2.

This means that any value of x that is greater than or equal to -2 will satisfy both inequalities.

To write it in the solution set notation {x | x >= ________}, you can fill in the blank with -2:

{x | x >= -2}

To find the solution set in the desired format, you need to determine the common interval where both inequalities hold true.

The first inequality is 9x + 5 ≥ -40, which can be rewritten as:

9x ≥ -45
x ≥ -45/9
x ≥ -5

The second inequality is 7x + 3 ≥ -11, which can be rewritten as:

7x ≥ -14
x ≥ -14/7
x ≥ -2

To find the intersection of these two intervals, we need to find the larger value between -5 and -2. In this case, the larger value is -2.

Therefore, the solution set is {x | x ≥ -2}.