3.4 Solving Inequalities with Addition and Subtraction

Inequality Two expressions with an inequality symbol between them. THEY ARE NOT EQUAL!

Inequality Symbols x < 2 x ≤ 3 x > -4 x ≥ -1 x is less than 2 x is less than or equal to 3 x is greater than -4 x is greater than or equal to -1

Write an inequality that represents the verbal sentence. Three plus a number is less than or equal to five. 3 + x ≤ 5 Negative four minus a number is greater than negative ten. -4 - x > -10

Graphing an Inequality x < 5 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Graphing an Inequality x ≥ 4 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Graphing an Inequality x ≤ -3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Solving an Inequality x + 3 > 5 -3 -3 x > 2 -3 -3 x > 2 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Solving an Inequality 10 ≤ x + 13 -13 -13 -3 ≤ x -13 -13 -3 ≤ x -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Rules for Graphing an Inequality Solve if necessary Place circle on the number Shade circle if can be equal to Point arrow in the direction of possible x values