ESL Math Exam Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (e.g., <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

How do you solve the inequality v > -13 and v ≤ -3?

Back

To solve this compound inequality, you find the values of v that satisfy both conditions. The solution is the interval (-13, -3].

Front

What does the solution x ≥ -24 represent on a number line?

Back

The solution x ≥ -24 includes all numbers greater than or equal to -24, represented by a closed dot at -24 and a line extending to the right.

Front

How do you write an inequality from a word problem?

Back

Identify the key quantities and their relationships, then express them using inequality symbols. For example, 'd is less than or equal to 260 miles' translates to d ≤ 260.

Front

What is the solution to the inequality q > 5/6?

Back

The solution includes all values of q that are greater than 5/6, represented on a number line with an open dot at 5/6 and a line extending to the right.

Front

What does the inequality b > 4 mean?

Back

The inequality b > 4 means that b can take any value greater than 4, represented by an open dot at 4 and a line extending to the right.

Front

How do you graph the solution of an inequality?

Back

To graph an inequality, draw a number line, place an open or closed dot at the boundary value, and shade the region that represents the solution set.

Front

What is the difference between ≤ and < in inequalities?

Back

The symbol ≤ includes the boundary value in the solution set, while < does not include the boundary value.

Front

How do you combine two inequalities like v > -13 and v ≤ -3?

Back

You find the intersection of the two solution sets, which gives you the values that satisfy both inequalities.

Front

What is the solution set for the inequality d ≤ 260 miles?

Back

The solution set includes all values of d that are less than or equal to 260 miles.