Inequalities and Systems Review

Front

What does the inequality y ≥ 3 represent on a graph?

Back

It represents all points on the graph where the y-coordinate is greater than or equal to 3, including the line y = 3.

Front

How do you determine if a value satisfies the inequality x + 9 > 21?

Back

Substitute the value into the inequality. If the resulting statement is true, then the value satisfies the inequality.

Front

What is the inequality that models a taxi fare of $2.50 per mile plus a $5 fee, not exceeding $20?

Back

2.50x + 5 ≤ 20, where x is the number of miles.

Front

How do you solve the inequality -3 − 6(4x + 6) > -111?

Back

First, simplify the left side to get -3 - 24x - 36 > -111, then solve for x to find x < 3.

Front

Which number is in the solution set for the inequality 6 - 2h > 30?

Back

-13 is in the solution set because it satisfies the inequality when substituted.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you graph the inequality y < 2?

Back

Graph the line y = 2 as a dashed line and shade the area below the line.

Front

What is the solution set of the inequality 3x - 5 < 4?

Back

The solution set is x < 3.