Algebra IA - Ch.4 Review

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What is the solution set for the inequality -4x + 1 ≤ 21?

Back

The solution set is x ≥ -5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

Is the point (0, 0) a solution to the inequality @@y ge -2x + 1@@?

Back

No, (0, 0) is not a solution because substituting x=0 gives y=-2(0)+1=1, which is not greater than or equal to 0.

Front

Solve the inequality: 10 < 3x + 19. What is x?

Back

x > -3.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

What is the solution set for the inequality 5x + 2 < 22?

Back

The solution set is x < 4.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the left value is strictly larger, while 'greater than or equal to' (≥) includes the possibility of equality.

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left to indicate all numbers less than 4.

Front

What is the solution to the compound inequality -5 ≤ x < 4?

Back

The solution includes all values of x that are greater than or equal to -5 and less than 4.