Two Step Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

What does it mean to solve a linear inequality?

Back

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

Front

What is the solution to the inequality 7k - 2 ≥ -9?

Back

k ≥ -1

Front

How do you isolate the variable in an inequality?

Back

To isolate the variable, perform inverse operations on both sides of the inequality, similar to solving an equation.

Front

What is the solution to the inequality -2x ≤ 14?

Back

x ≥ -7

Front

What does the symbol '≥' mean?

Back

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

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

t ≤ -1

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

n > 11.

Front

What is the solution to the inequality 77 ≤ 5 + 8n?

Back

n ≥ 9.