Four more than three times a number, is less than 30. Which of the following is not a solution?61278

Solution

- To solve the question, we simply need to interpret the question line by line.

- Let the number be x.

- "Four more than three times a number" can be written as:

- "Four more than three times a number is less than 30" can be written as:

- Now, we can proceed to solve the inequality and find the appropriate range of x. This is done below:

- This means that all correct solutions to the inequality lie below 8.666...

- This further implies that any number greater than this is not part of the solutions of the inequality.

- 12 is greater than 8.666

Final Answer

The answer is 12

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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