R.8 1-Variable Inequalities Name: Inequality Symbols used to describe solutions ● Symbol How to Read it Example > greater than x > 5 x can be any number greater than 5 but 5 is not a solution greater than or equal to x x can be or any number greater than ≥ ≥ ‒4 ‒4 ‒4 < less than x < 7 x can be any number less than 7 but 7 is not a solution Less than or equal to x 2 x can be 2 or any number less than 2 ≤ ≤ Determine whether each value is a solution to the inequality. a. Is -3 a solution to ? b. Is 50 a solution to ? c. Is -123 a solution to ? c. Is 87 a solution to ? Representing the Solutions for 1-Variable Inequalities on a Number Line. ● How to graph it on a number Is the circled # a solution? Symbol line. > ○ < ○ ● ≥ ● ≤ Example 1: a. 2x 17 < – ‒9 2x 17 + 17 < + 17 – ‒9 2x < 8 x < x < 4 4 is now the boundary point for the graph b. 18 6 ‒2x ‒ ≥ Practice
R.8 1-Variable Inequalities Name: ● Inequality Symbols used to describe solutions Symbol How to Read it Example > greater than x > 5 x can be any number greater than 5 but 5 is not a solution ≥ greater than or equal to x ≥ ‒4 x can be ‒4 or any number greater than ‒4 < less than x < 7 x can be any number less than 7 but 7 is not a solution ≤ Less than or equal to x ≤ 2 x can be 2 or any number less than 2 Determine whether each value is a solution to the inequality. a. Is -3 a solution to ? b. Is 50 a solution to ? c. Is -123 a solution to ? c. Is 87 a solution to ? ● Representing the Solutions for 1-Variable Inequalities on a Number Line. Symbol How to graph it on a number line. Is the circled # a solution? > ○ < ○ ≥ ● ≤ ● Example 1: a. 2x – 17 < ‒9 2x – 17 + 17 < ‒9 + 17 2x < 8 x < x < 4 4 is now the boundary point for the graph b. ‒2x ‒ 18 ≥ 6 Practice
R.8_1-Variable_Inequalities.docx