Problem 20 Solve each inequality and graph ... [FREE SOLUTION]

Chapter 6: Problem 20

Solve each inequality and graph the solution set on a number line. \(6 x \geq 18\)

Short Answer

Expert verified

The solution to the inequality \(6x \geq 18\) is \(x \geq 3\). On the number line, the solution set spans from the number 3 to positive infinity, being inclusive of 3.

Step by step solution

Isolate the variable

Divide both sides of the inequality \(6x \geq 18\) by 6. Doing this provides \(x \geq 18/6\).

Simplify the inequality

Simplify \(x \geq 18/6\). The simplified form is \(x \geq 3\).

Graph the solution set

Draw a number line and place a closed circle on 3 (closed because the inequality is 'greater than or equal to'), then shade to the right side of 3, as \(x\) values greater than 3 are included the solution.

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91影视

Solve each inequality and graph the solution set on a number line. \(6 x \geq 18\)

Short Answer

Step by step solution

Isolate the variable

Simplify the inequality

Graph the solution set

One App. One Place for Learning.

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