Question
b)
Solve this inequality and choose the graph of the solution.
Solve this inequality and choose the graph of the solution.
Answers
GPT 3.5
To solve the inequality, we first isolate the variable:
2x + 3 > 7
Subtracting 3 from both sides:
2x > 4
To solve for x, divide both sides by 2:
x > 2
The solution to the inequality is x > 2. This means that any value of x that is greater than 2 will satisfy the inequality.
To choose the graph of the solution, we need to determine if the inequality is strict or not. In this case, the inequality is strict (x > 2), so we will choose a graph with an open circle at x = 2 to show that it is not included in the solution, and a shaded region to the right of x = 2, indicating that all values greater than 2 are part of the solution.
The correct graph of the solution is:
```
(=============>
2
```
The open circle at 2 and the arrow pointing to the right indicate that all values greater than 2 satisfy the given inequality.
2x + 3 > 7
Subtracting 3 from both sides:
2x > 4
To solve for x, divide both sides by 2:
x > 2
The solution to the inequality is x > 2. This means that any value of x that is greater than 2 will satisfy the inequality.
To choose the graph of the solution, we need to determine if the inequality is strict or not. In this case, the inequality is strict (x > 2), so we will choose a graph with an open circle at x = 2 to show that it is not included in the solution, and a shaded region to the right of x = 2, indicating that all values greater than 2 are part of the solution.
The correct graph of the solution is:
```
(=============>
2
```
The open circle at 2 and the arrow pointing to the right indicate that all values greater than 2 satisfy the given inequality.