7th 5-7 Solve Multi Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the solution to the inequality 3 + 4x > 27?

Back

x > 6.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in an equation, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is the inequality that represents 'Jackson has at least five more than twice as many Lego sets as Brock'?

Back

J ≥ 2B + 5.

Front

What is the solution to the inequality -3.5 + 4t ≤ 39.5?

Back

t ≤ 10.75.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the solution of an inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution.

Front

What is the perimeter of a rectangle with length x and width 20 if it must be greater than 112 meters?

Back

The inequality is 2x + 40 > 112, which simplifies to x > 36.