Problem 28 Solve each inequality and graph ... [FREE SOLUTION]

Chapter 6: Problem 28

Solve each inequality and graph the solution set on a number line. \(\frac{1}{2} x>3\)

Short Answer

Expert verified

The solution for the inequality \( \frac{1}{2} x > 3 \) is \( x > 6 \). On the number line, we represent this with an open circle at 6 with an arrow to the right indicating that x is any number greater than 6.

Step by step solution

Isolate the variable

First, we need to get x by itself on one side of the inequality. We can achieve this by multiplying both sides of the inequality by 2. This yields 2*(\(\frac{1}{2}\)x) > 2*3, simplifying it to x > 6.

Graph the solution on number line

The solution x > 6 means that x is any number greater than 6. To graph this on the number line, make an open circle at 6 and then draw an arrow pointing to the right, indicating numbers greater than 6.

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91影视

Solve each inequality and graph the solution set on a number line. \(\frac{1}{2} x>3\)

Short Answer

Step by step solution

Isolate the variable

Graph the solution on number line

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