Question

What is the solution set for the inequality 4−5g > 39 Question 3 options: g < −7 g>7 g<7 g > −7.

Answer 1

The solution to the inequality 4−5g > 39 is g < −7. To solve for g, subtract 4 from both sides and then divide by −5, remembering to reverse the inequality sign.

Step-by-step explanation:

To solve the inequality 4−5g > 39, begin by isolating the variable g on one side:

Subtract 4 from both sides of the inequality to get −5g > 35.

Divide both sides by −5 to isolate g. Remember that dividing by a negative number reverses the inequality sign, so you get g < −7.

The solution set for the inequality is g < −7.

Answer 2

g < -7

General Formulas and Concepts:
Algebra I

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

*Note:

When dividing or multiplying both sides of the inequality by a negative, flip the inequality sign.

Step 1: Define

Identify.

4 - 5g > 39

Step 2: Solve for g

1. [Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
2. [Division Property of Equality] Divide -5 on both sides: g < -7

∴ any number g less than -7 would work as a solution to the inequality.

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Topic: Algebra I

Unit: Inequalities