Problem 57 Solve each inequality and graph ... [FREE SOLUTION]

Chapter 6: Problem 57

Solve each inequality and graph the solution set on a number line. \(1-\frac{x}{2}>4\)

Short Answer

Expert verified

The solution to the inequality is \(x < -6\).

Step by step solution

Subtract 1 from both sides

The first step is to subtract 1 from both sides to get \(-\frac{x}{2} > 3\). This is done to isolate the \(x\) term on one side of the inequality.

Multiply both sides by -2

Next, to isolate \(x\), multiply both sides of the inequality by -2. This gives \(x < -6\). Note that the inequality sign changes direction when multiplied or divided by a negative number.

Graph the solution set on a number line

The solution set is all numbers less than -6. On a number line, this is shown as an open dot at -6 and a line extending to the left.

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91影视

Solve each inequality and graph the solution set on a number line. \(1-\frac{x}{2}>4\)

Short Answer

Step by step solution

Subtract 1 from both sides

Multiply both sides by -2

Graph the solution set on a number line

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