Solve x - 1/3 < 1/2
To solve the inequality x - 1/3 < 1/2, let's first add 1/3 to both sides of the inequality to isolate x:
x - 1/3 + 1/3 < 1/2 + 1/3
This simplifies to:
x < 5/6
Thus, the solution to the inequality is x < 5/6.
Which of the following shows the graph of the solution to x + 3 < 7?
Answer
To solve the inequality x - 1/3 < 1/2, we need to isolate the variable x on one side of the inequality sign. Here's how you can do it step by step:
Step 1: Add 1/3 to both sides of the inequality to eliminate the -1/3 on the left side:
x - 1/3 + 1/3 < 1/2 + 1/3
The inequality becomes:
x < 1/2 + 1/3
Step 2: Simplify the right side of the inequality:
x < 3/6 + 2/6
The inequality becomes:
x < 5/6
Therefore, the solution to the inequality x - 1/3 < 1/2 is x < 5/6.