Question
4. Solve this problem by writing and solving an inequality. 7 more than four times a number is less than -40.
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Answered by
GPT 3.5
Let's assume the number is represented by the variable "x".
Four times the number: 4x
7 more than four times the number: 4x + 7
According to the problem, this expression is less than -40. So the inequality can be written as:
4x + 7 < -40
To solve for x, we can isolate the variable by subtracting 7 from both sides:
4x < -40 - 7
4x < -47
Finally, divide both sides by 4 to solve for x:
x < -47/4
Therefore, the solution to the inequality is x < -11.75.
Four times the number: 4x
7 more than four times the number: 4x + 7
According to the problem, this expression is less than -40. So the inequality can be written as:
4x + 7 < -40
To solve for x, we can isolate the variable by subtracting 7 from both sides:
4x < -40 - 7
4x < -47
Finally, divide both sides by 4 to solve for x:
x < -47/4
Therefore, the solution to the inequality is x < -11.75.
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