Question
5+4x less than 28 steps in words
Answers
GPT-4o mini
To express "5 + 4x less than 28" in words, you can follow these steps:
1. **Start with the expression**: Begin by identifying the equation you're working with. The phrase suggests that we want to express something that is "less than," which typically relates to an inequality.
2. **Rewrite the expression**: The phrase "5 + 4x less than 28" can be translated to a mathematical inequality:
\[
5 + 4x < 28
\]
3. **Identify the components**:
- **5**: This is a constant value.
- **4x**: This represents a variable term that depends on \(x\).
- **Less than**: This indicates an inequality.
4. **Subtract 5 from both sides**: To isolate the term with \(x\), we need to manipulate the inequality. First, subtract 5 from both sides of the inequality to get:
\[
4x < 28 - 5
\]
which simplifies to:
\[
4x < 23
\]
5. **Divide by 4**: Next, divide both sides of the inequality by 4 to solve for \(x\):
\[
x < \frac{23}{4}
\]
or, as a decimal,
\[
x < 5.75
\]
6. **Conclude with the interpretation**: The result \(x < 5.75\) means that the value of \(x\) must be less than 5.75 for the original statement to be true.
So, in summary, the phrase "5 + 4x less than 28" means that when you take 5 and add 4 times a number \(x\), the result must be less than 28. By solving the inequality, we find that \(x\) must be less than 5.75.
1. **Start with the expression**: Begin by identifying the equation you're working with. The phrase suggests that we want to express something that is "less than," which typically relates to an inequality.
2. **Rewrite the expression**: The phrase "5 + 4x less than 28" can be translated to a mathematical inequality:
\[
5 + 4x < 28
\]
3. **Identify the components**:
- **5**: This is a constant value.
- **4x**: This represents a variable term that depends on \(x\).
- **Less than**: This indicates an inequality.
4. **Subtract 5 from both sides**: To isolate the term with \(x\), we need to manipulate the inequality. First, subtract 5 from both sides of the inequality to get:
\[
4x < 28 - 5
\]
which simplifies to:
\[
4x < 23
\]
5. **Divide by 4**: Next, divide both sides of the inequality by 4 to solve for \(x\):
\[
x < \frac{23}{4}
\]
or, as a decimal,
\[
x < 5.75
\]
6. **Conclude with the interpretation**: The result \(x < 5.75\) means that the value of \(x\) must be less than 5.75 for the original statement to be true.
So, in summary, the phrase "5 + 4x less than 28" means that when you take 5 and add 4 times a number \(x\), the result must be less than 28. By solving the inequality, we find that \(x\) must be less than 5.75.