What is the solution to the inequality $$x

The solution is all values of $$x$$ that are less than -96.

What does the symbol $$\le$$ mean in inequalities?

The symbol $$\le$$ means 'less than or equal to', indicating that the value can be either less than or exactly equal to the number.

How do you solve the inequality $$\frac{u}{7} - 1 \le 1$$ ?

To solve, first add 1 to both sides to get $$\frac{u}{7} \le 2$$ , then multiply both sides by 7 to find $$u \le 14$$ .

What does it mean when we say $$a > 6$$ ?

It means that the value of $$a$$ is greater than 6, so $$a$$ can be any number larger than 6.

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is the difference between an equation and an inequality?

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

How do you graph a linear inequality?

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

What is the solution set of the inequality $$a > -24$$ ?

The solution set includes all values of $$a$$ that are greater than -24.

What does it mean to have no solution in an inequality?

No solution means that there are no values of the variable that can satisfy the inequality.

What is a compound inequality?

A compound inequality combines two inequalities, often using 'and' or 'or', to describe a range of values.

Topic 7 and 8 Flashcard Review- Linear Equations and Inequalities Flashcards

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

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What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true. This often involves finding a range of values rather than a single solution.

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and all other terms on the opposite side.

5.

FLASHCARD QUESTION

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Back

6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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