Question
\( \begin{array}{l} \text { Solve. }\\ 3 x-5<19 \end{array} \)
Ask by Gardner Bird. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x < 8 \)
Solution
Solve the equation \( 3x-5<19 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(3x-5<19\)
- step1: Move the constant to the right side:
\(3x<19+5\)
- step2: Add the numbers:
\(3x<24\)
- step3: Divide both sides:
\(\frac{3x}{3}<\frac{24}{3}\)
- step4: Divide the numbers:
\(x<8\)
The solution to the inequality \(3x-5<19\) is \(x<8\).
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Simplify this solution Mind Expander
To solve the inequality \( 3x - 5 < 19 \), start by isolating \( x \). First, add 5 to both sides to get \( 3x < 24 \). Next, divide both sides by 3, resulting in \( x < 8 \). So, the solution set is all values of \( x \) that are less than 8! Now, let’s think about what this means in real life. For instance, if \( x \) represents the amount of money you can spend on your favorite snacks and your budget allows for a maximum of 8 dollars, you want to make sure what you choose fits within that limit. So go ahead and grab those tasty treats, just don't overspend!
