(MCA) 6.2 (Practice) Compound Inequalities.

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'.

Front

What does 'and' mean in a compound inequality?

Back

The solution set includes values that satisfy both inequalities.

Front

What does 'or' mean in a compound inequality?

Back

The solution set includes values that satisfy at least one of the inequalities.

Front

How do you solve a compound inequality with 'and'?

Back

Find the intersection of the solution sets of the individual inequalities.

Front

How do you solve a compound inequality with 'or'?

Back

Find the union of the solution sets of the individual inequalities.

Front

What is the solution set for the inequality -3x + 2 > 11 or -x - 5 < 7?

Back

x < -3 or x > 12.

Front

What is the solution set for the inequality 3x - 2 ≥ 10 and 4x + 1 < 25?

Back

x ≥ 4 and x < 6.

Front

What is the graphical representation of x > 2 or x ≤ -3?

Back

A number line with an open circle at 2 extending to the right and a closed circle at -3 extending to the left.

Front

What is the solution set for x + 8 < 3 or -8x < -40?

Back

x < -5 or x > 5.

Front

How do you write an inequality for the graph showing -2 ≤ x ≤ 5?

Back

The inequality is -2 ≤ x ≤ 5.