SOLVING COMPOUND INEQUALITIES

Solve (x + 2 < 5) U (x - 7 > -6).

{x | x < 3 or x > 1}

Solve 2/3x > 8 or 2/3x < 4.

{x | x > 12 or x < 6}

Which of the following has no solution?

(x + 1 < 1) ∩ (x + 1 > 1)

compound inequality

a statement formed by two or more inequalities

solution

a value or values of the variable that make an algebraic sentence true

Solve (4 - x ≤ -1) ∩ (2 + 3x ≥ 17).

Arrow going to the right piont is at 5

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Lines Connected @ -2 and 4

Solve 2x - 1 < 7 and 5x + 3 < 3.

{x | x < 0}

Solve 15 ≥ -3x or 2/5x ≥ -2.

{x | x ≥ -5}