Question
15 less than 4 times a number more than 49
Answers
Answered by
GPT-4 Turbo
To solve the equation, let's start by identifying the number as "x."
According to the phrase "15 less than 4 times a number," the algebraic representation of this part of the phrase would be:
4x - 15
The remaining part of the phrase is "more than 49." This indicates that the expression "4x - 15" must be greater than 49. Thus, the inequality can be written as:
4x - 15 > 49
To find the range of numbers that satisfy this inequality, you simply solve for x:
4x - 15 > 49
First, add 15 to both sides of the inequality to isolate the term with x on one side:
4x > 49 + 15
4x > 64
Next, divide both sides by 4 to solve for x:
x > 64 / 4
x > 16
Therefore, the number (x) must be greater than 16 to satisfy the condition that "15 less than 4 times a number is more than 49."
According to the phrase "15 less than 4 times a number," the algebraic representation of this part of the phrase would be:
4x - 15
The remaining part of the phrase is "more than 49." This indicates that the expression "4x - 15" must be greater than 49. Thus, the inequality can be written as:
4x - 15 > 49
To find the range of numbers that satisfy this inequality, you simply solve for x:
4x - 15 > 49
First, add 15 to both sides of the inequality to isolate the term with x on one side:
4x > 49 + 15
4x > 64
Next, divide both sides by 4 to solve for x:
x > 64 / 4
x > 16
Therefore, the number (x) must be greater than 16 to satisfy the condition that "15 less than 4 times a number is more than 49."
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