Practice 2
 Add 4 to each part of the inequality:
0 < x – 4 ≤ 4
4 < x ≤ 8
Because x is greater than 4, 4 is not part of the solution set, and because x is less than or equal to 8, 8 is part of the solution set. Draw a hollow circle around 4 and a closed circle around 8. Shade the area between them:

Divide by –7 and change the inequality symbols from greater than to less than:
49 > –7x > –21
–7 < x < 3
Because x is greater than –7, –7 is not part of the solution set, and because x is less 3, 3 is not part of the solution set. Draw a hollow circle around –7 and a hollow circle around 3. Shade the area between them:

Add 7 to each part of the inequality and divide by 3:
–13 ≤ 3x – 7 < 20
–6 ≤ 3x < 27
–2 ≤ x < 9
Because x is greater than or equal to –2, –2 is part of the solution set, and because x is less than 9, 9 is not part of the solution set. Draw a closed circle around –2 and a hollow circle around 9. Shade the area between them:

Subtract 1 from each part of the inequality and multiply by 5:
0 ≥ x ≥ –10
Because x is less than or equal to 0, 0 is part of the solution set, and because x is greater than or equal to –10, –10 is part of the solution set. Draw a closed circle around 0 and a closed circle around –10. Shade thearea between them:

Add 5 to each part of the inequality and multiply by –2. Change the inequality symbols from greater than and greater than or equal to to less than and less than or equal:
–8 < x ≤ –4
Because x is greater than –8, –8 is not part of the solution set, and because x is less than or equal to –4, –4 is part of the solution set. Draw a hollow circle around –8 and a closed circle around –4. Shade the area between them:
Practice 3
1.  Add 4 to both sides of the inequality: 


2.  Add 2x to both sides of the inequality and divide by 8: 


3.  Subtract 15x from both sides of the equation. Divide by –5 and change the inequality symbol from greater than to less than: 

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