How do you solve the inequality $$6t + 4 ≤ -2$$ ?

First, subtract 4 from both sides: $$6t ≤ -6$$ . Then, divide by 6: $$t ≤ -1$$ .

What is the first step in solving the inequality $$2x + 7 > 15$$ ?

Subtract 7 from both sides to isolate the term with the variable: $$2x > 8$$ .

Solve and graph the inequality $$77 ≤ 5 + 8n$$ .

First, subtract 5 from both sides: $$72 ≤ 8n$$ . Then, divide by 8: $$9 ≤ n$$ or $$n ≥ 9$$ .

What is the solution to the inequality $$s + 9 ≥ -25$$ ?

Subtract 9 from both sides: $$s ≥ -34$$ .

What is the solution to the inequality $$-9n ≥ -90$$ ?

Divide both sides by -9 and flip the inequality sign: $$n ≤ 10$$ .

What does it mean if an inequality has no solution?

An inequality has no solution if the variable cannot satisfy the inequality under any circumstances, such as $$x > x$$ .

What is the graphical representation of an inequality?

The graphical representation of an inequality shows a number line with a shaded region indicating all possible solutions. For example, $$x ≥ 3$$ is represented by a closed circle at 3 and shading to the right.

How do you check the solution of an inequality?

To check the solution, substitute a value from the solution set back into the original inequality to see if it holds true.

What is the difference between a strict and non-strict inequality?

A strict inequality (e.g., $$ $$ ) does not include the boundary point, while a non-strict inequality (e.g., $$≤$$ or $$≥$$ ) includes the boundary point.

What is the solution set of the inequality $$x + 4

Subtract 4 from both sides: $$x

How do you represent the solution of an inequality on a number line?

Use an open circle for strict inequalities and a closed circle for non-strict inequalities, then shade the appropriate direction.

What is the importance of understanding inequalities in real life?

Understanding inequalities helps in making decisions based on constraints, such as budgeting, resource allocation, and comparing quantities.

Review for Flashcard Lesson 4b.4 Two-Step Inequalities (Math 7) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a two-step inequality?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What does it mean to 'flip' an inequality?

Back

Flipping an inequality means reversing the direction of the inequality sign. This occurs when you multiply or divide both sides of the inequality by a negative number.

5.

FLASHCARD QUESTION

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when multiplying or dividing both sides by a negative number.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

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Back

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