7th 5-7 Solve Multi Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Front

How do you solve the inequality: 12 ≥ 6(12x + 3)?

Back

1. Distribute: 12 ≥ 72x + 18 2. Subtract 18 from both sides: -6 ≥ 72x 3. Divide by 72: -1/12 ≥ x or x ≤ -1/12.

Front

What does the inequality symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the inequality symbol '≤' mean?

Back

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

Front

How do you represent 'Jackson has at least five more than twice as many Lego sets as Brock has' in inequality form?

Back

The inequality is represented as J ≥ 2B + 5, where J is the number of Lego sets Jackson has and B is the number of Lego sets Brock has.

Front

When solving inequalities, what happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Front

Solve the inequality: -3.5 + 4t ≤ 39.5. What is the solution?

Back

1. Add 3.5 to both sides: 4t ≤ 43 2. Divide by 4: t ≤ 10.75.

Front

What is the solution to the inequality: x > 55?

Back

The solution indicates that x can take any value greater than 55.

Front

What is the solution to the inequality: x < 27?

Back

The solution indicates that x can take any value less than 27.

Front

What does it mean if an inequality has no solution?

Back

An inequality has no solution when there are no values that can satisfy the inequality, often resulting from contradictory statements.