Solving Linear Inequalities

What does an equality represent?

• A statement where one value is greater than another.

• A statement where values are equal to each other.

• A statement where one value is less than another.

• A statement with multiple possible solutions.

What is the value of x in the equation 3x - 2 = x + 8?

• x = 3

• x = 4

• x = 5

• x = 6

How many solutions does solving a linear equation typically yield, compared to solving an inequality?

• Linear equations yield many solutions, inequalities yield one solution.

• Both linear equations and inequalities yield one solution.

• Linear equations yield one solution, inequalities yield many solutions.

• Both linear equations and inequalities yield many solutions.

When graphing an inequality on a number line, what does an open circle at the critical value signify?

• The critical value is included in the solution set.

• The critical value is not included in the solution set.

• The solution set extends infinitely in both directions.

• The solution set is empty.

What is the solution to the inequality 3x + 2 < 17?

• x <= 5

• x >= 5

• x <= 15

• x >= 15

What is the solution to the inequality 24x - 1 > 99 - x?

• x < 4

• x > 4

• x < 100

• x > 100

What adjustment must be made to an inequality symbol when multiplying or dividing both sides by a negative value?

• The symbol remains unchanged.

• The symbol is reversed.

• The symbol changes to an equality sign.

• The symbol is replaced with a 'not equal to' sign.

What is the solution to the inequality -5x > 20?

• x >= -4

• x <= -4

• x >= 4

• x <= 4