Question

Which linear inequality will not have a shared solution set with the graphed linear inequality? y < five-thirdsx – 2 y < negative five-thirdsx 1 y > five-thirdsx 2 y > negative five-thirdsx 2

Answer 1

The inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.

Linear inequalities are inequalities that involves at least one linear algebraic expression, that is, a polynomial of degree 1.Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

• y < five-thirds x – 2. The inequality will have a shared solution set with the graphed linear inequality.

• y < negative five-thirds x - 1. The inequality will have a shared solution set with the graphed linear inequality.

• y > five-thirds x + 2. The inequality will not have a shared solution set with the graphed linear inequality.

• y >  negative five-thirds x + 2. The inequality will have a shared solution set with the graphed linear inequality

Hence, the inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.

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