Problem 36 Solve each inequality and graph ... [FREE SOLUTION]

Chapter 6: Problem 36

Solve each inequality and graph the solution set on a number line. \(2 x+9 \leq x+2\)

Short Answer

Expert verified

The solution to the inequality is \(x \leq -7\). This can be graphed on a number line by starting with a filled circle at -7 and drawing a line extending to the left.

Step by step solution

Simplify the Inequality

Subtract \(x\) from both sides of the inequality: \((2x - x) + 9 \leq 2\). This simplifies to \(x + 9 \leq 2\).

Isolation of Variable

Subtract 9 from both sides to isolate x: \(x \leq 2 - 9\), which simplifies to \(x \leq -7\).

Graphing the Solution

On a number line, mark -7. As \(x\) is less than or equal to -7, the values to the left of -7 are included in the solution set. Draw a closed circle (indicating the inclusion of -7) 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. \(2 x+9 \leq x+2\)

Short Answer

Step by step solution

Simplify the Inequality

Isolation of Variable

Graphing the Solution

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