Example 1
Solve the inequality z + 5 ≥ 3 and represent its solutions using a number line.
Example 2
Solve the inequality 4(x – 1) < 3(x + 1) and represent its solutions using a number line.
Example 3
Solve the inequality 2x + 3 ≤ x and represent its solutions using a number line.
Example 4
Solve the inequality 5(x + 2) – 3x ≤ 4 + 2x + 3(x – 1). Write the solution as an inequality, and show the solution on a number line.
Example 5
Solve the inequality -12x < 144. Write the solution as an inequality, and show the solution on a number line.
Example 6
Solve the inequality 5[x + 3(1 – x) + 2] ≥ 7. Write the solution as an inequality, and show the solution on a number line.
Example 7
Solve the inequality 7y + 2 ≤ 65. Write the solution as an inequality, and show the solution on a number line.
Example 8
Solve the inequality z + z[3 – 2(1 + z)] < 5[1 + 2(z – 3)] – 2z2. Write the solution as an inequality, and show the solution on a number line.