Algebra Class: Multi-Step Inequalities

Multi-Step Inequalities

• An open dot on -2 indicates that the value is excluded; hence the inequality is x > -2.
• To represent the interval graphically, the shading extends to the right from -2, indicating all values greater than -2.

Solving Inequalities

• For the inequality x - 7 > 10, adding 7 to both sides leads to x > 17.
• Understanding how to isolate the variable is key for solving multi-step inequalities effectively.

Compound Inequalities

• The compound inequality 3x ≤ 21 breaks down to x ≤ 7 after dividing both sides by 3.
• This indicates that x can take any value less than or equal to 7, including 7 itself.

Expressing Inequalities

• Inequalities, like 5a - 2, may require further context or conditions to be fully understood.
• Ensure to translate any expressions into usable forms for solving or graphing.

This quiz covers concepts related to multi-step inequalities, solving inequalities, and compound inequalities. You will learn how to isolate variables and represent inequalities graphically. It's essential for mastering algebraic expressions and their applications.