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Solving and Interpreting One-Variable Compound Inequalities

An exercise on solving and interpreting one-variable compound inequalities in algebra.

Lucas Allen
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Solving and Interpreting One-Variable Compound InequalitiesIn this discussion, solve the assigned compound inequalities for the first initial ofyour last name. If your first initial is A or L, solve the following compoundinequalities:•'And'compound inequality:-4 ≤ 3 + 7x < 24•'Or' compound inequality: 5–x ≥ 7 or 8x–3 > 29Show your work for solving each inequality step by step. Carefully handle anynegative terms in the inequalities. After solving, express the solution setsalgebraically and as unions or intersections of intervals.(300-350 words)One-Variable Compound InequalitiesIn this discussion, you will be demonstrating your understanding of compound inequalities andthe effect that dividing by a negative has on an inequality. Read the following instructions inorder and view theexampleto complete this discussion:•According to the first initial of your last name, find the pair of compound inequalitiesassigned to you in the table below.If your firstinitial isYour “and” compoundinequality isYour “or” compoundinequality isA orL-4 ≤ 3 + 7x < 245–x ≥ 7 or 8x–3 > 29•Solve the compound inequalities as demonstrated inElementary and IntermediateAlgebraand the Instructor Guidance in the left navigation toolbar, being careful of how anegative x-term is handled in the solving process. Show all math work arriving at thesolutions.•Show the solution sets written algebraically and as a union or intersection of intervals.Describe in words what the solution sets mean, and then display a simple line graph foreach solution set as demonstrated in the Instructor Guidance in the left navigation toolbar.•Incorporate the following five math vocabulary words into your discussion.Usebold fontto emphasize the words in your writing (Do not write definitions for the words; usethem appropriately in sentences describing your math work.):oCompound inequalitiesoAnd

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