Question
Solve the inequality and graph the solution on the line provided.
minus, 9, plus, 6, x, is greater than or equal to, 39
−9+6x≥
39
Answer
Attempt 1 out of 2
minus, 9, plus, 6, x, is greater than or equal to, 39
−9+6x≥
39
Answer
Attempt 1 out of 2
Answers
GPT 3.5
To solve the inequality -9 + 6x ≥ 39, we can start by isolating the variable x.
First, add 9 to both sides of the inequality:
-9 + 9 + 6x ≥ 39 + 9
6x ≥ 48
Next, divide both sides of the inequality by 6:
6x/6 ≥ 48/6
x ≥ 8
Therefore, the solution to the inequality is x ≥ 8.
Now, let's graph the solution on a number line:
-∞ 8
---------------------------->
[ x ≥ 8 )
On the number line, we place a closed circle at 8 to indicate that 8 is included in the solution. Then we shade the line to the right of the circle to represent all the values of x greater than or equal to 8.
First, add 9 to both sides of the inequality:
-9 + 9 + 6x ≥ 39 + 9
6x ≥ 48
Next, divide both sides of the inequality by 6:
6x/6 ≥ 48/6
x ≥ 8
Therefore, the solution to the inequality is x ≥ 8.
Now, let's graph the solution on a number line:
-∞ 8
---------------------------->
[ x ≥ 8 )
On the number line, we place a closed circle at 8 to indicate that 8 is included in the solution. Then we shade the line to the right of the circle to represent all the values of x greater than or equal to 8.