# Unit 4 Lesson 4 Recorded

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### Lesson 4: Solve Compound Inequalities :

Lesson 4: Solve Compound Inequalities

### Slide 2:

compound inequality – two inequalities joined by and or, or. x > -2 x ≤ 1 x > -2 and x ≤ 1 -2 < x ≤ 1 and intersection

### Slide 3:

x ≥ 0 x < -1 x < -1 or x ≥ 0 or union

### Slide 4:

EX Graph the inequality. Then translate the verbal phrase into an inequality. All real numbers that are greater than -2 and less than or equal to 3. ° • -2 < x ≤ 3

### Slide 5:

EX Graph the inequality. Then translate the verbal phrase into an inequality. All real numbers that are less than 0 or greater than or equal to 2. ° • x < 0 or x ≥ 2

### Slide 6:

EX Solve the inequality. Then graph the solution on a number line. 2 < x + 5 < 9 2 < x + 5 and x + 5 < 9 -5 -5 -3 < x -5 -5 x < 4 and 2 < x + 5 < 9 -5 -5 -5 -3 < x < 4

### Slide 7:

EX Solve the inequality. Then graph the solution on a number line. -2 < 3x + 4 < 13 -2 < 3x + 4 and 3x + 4 < 13 -4 -4 -2 < x x < 3 and -2 < 3x + 4 < 13 -4 -4 -4 -2 < x < 3 -6 < 3x 3 3 -4 -4 3x < 9 3 3 -6 < 3x < 9 3 3 3

### Slide 8:

EX Solve the inequality. Then graph the solution on a number line. 2x + 3 < 9 or 3x – 6 > 12 -3 -3 x < 3 x > 6 or 2x < 6 2 2 +6 +6 3x > 18 3 3