Solve Inequalities Multiple Properties

What does it mean solve an inequality?

• to solve an inequality means to determine the values of the variable that make the inequality true

• to solve an inequality means to determine the values of the variable that are irrelevant to the inequality

• to solve an inequality means to determine the values of the variable that have no effect on the inequality

• to solve an inequality means to determine the values of the variable that make the inequality false

2 + n ≤ 4½

• n ≥ 2½

• n ≤ 2½

• n ≤ 6½

• n ≥ 6½

-13t > 26

• t > -2

• t > 2

• t < 2

• t < -2

m ≤ 15

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

• f < 0.5

• f > 0.5

• f < 1.2

• f > 1.2

Solve for x

• x > 15

• x < 15

• x > 1.7

• x < 1.7

Do I need to flip my sign?

2x - 3y ≥ 12

• Yes, because the "y" is negative.

• No, because the "y" is negative.

• Yes, because the "y" is NOT negative.

• No, because the "y" is NOT negative.

Solve the linear inequality.

• x < 5

• x > 5

• x < 5

• x > 5

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

• No, because the coefficient of n is negative

• No, because the coefficient of n is positive

• Yes, because the coefficient of n is negative

• Yes, because the coefficient of n is positive