3x + 4 > 9, with x = 2

determine whether or not the solution provided is a solution to the inequality. If the value he or she provides is a solution, provide a value that is not a solution. If the value is not a solution, provide a value that is a solution.

3x+4>9

3(2)+4>9
6+4>9
10>9

The value x=2 is a solution to the inequality. A value of x that would not be a solution would be any value lesser than 2, such as 1,0, or -1.

3x + 4 > 9,

Solve the inequality
3x + 4 > 9
3x > 5
x > 5/3 = 1.67

Therefore, for x to be a solution,
x > 1.67

You should be able to finish the problem from here.

If the value is a solution then it will make the statement true when it is substituted in.

3*2+4=10
10 is grater then 9 so 2 is a solution.
To get a number that makes this false we can solve
3x+4=9.
X=5/3

To determine whether or not the given value of x = 2 is a solution to the inequality 3x + 4 > 9, we can substitute the value of x into the inequality and check if the resulting expression is true or false.

Plugging in x = 2, we have:
3(2) + 4 > 9
6 + 4 > 9
10 > 9

Since 10 is greater than 9, the inequality is true when x = 2. Therefore, x = 2 is indeed a solution to the inequality.

To provide a value that is not a solution, we can choose any value of x that makes the inequality false. Let's substitute x = 0 into the inequality and check:
3(0) + 4 > 9
0 + 4 > 9
4 > 9

Since 4 is not greater than 9 (it is actually less), the inequality is false when x = 0. Therefore, x = 0 is not a solution to the inequality.

To provide a value that is a solution, we can choose any value of x that makes the inequality true. For example, substituting x = 3 into the inequality:
3(3) + 4 > 9
9 + 4 > 9
13 > 9

Since 13 is greater than 9, the inequality is true when x = 3. Therefore, x = 3 is a solution to the inequality.