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Asked by Bhushan Last Modified
Answer As a seasoned tutor registered on UrbanPro, I can confidently guide you through solving the given linear inequality and illustrating its solution graphically on a number line.
Given the inequality: 3x−2<2x+13x−2<2x+1
Let's solve it step by step:
Subtract 2x2x from both sides: 3x−2−2x<13x−2−2x<1
Simplify: x−2<1x−2<1
Add 22 to both sides: x<3x<3
So, the solution to the inequality is x<3x<3.
Now, let's represent this solution graphically on a number line:
This visual representation indicates that any value of xx less than 33 is a solution to the given inequality.
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