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Exercises Equations and inequalities

Example 2.70 from Elementary Algebra, 2.7 Solve Linear Inequalities

Solve Linear Inequalities: example 2.70

Solve the inequality $−10 a \geq 50$ , graph the solution on the number line, and write the solution in interval notation.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

Divide both sides of the inequality by −10.
Since $−10 < 0$ , the inequality reverses.

Simplify.

Graph the solution on the number line.

Write the solution in interval notation.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve each inequality, graph the solution on the number line, and write the solution in interval notation.

$−8 q < 32$

How did it go?

PreviousSolve Linear Inequalities: example 2.69 Next Solve Linear Inequalities: example 2.71

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 2.7, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.