Solve LINEAR inequalities (Part 2)

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The procedure for solving linear inequalities is the same as the procedure for solving linear equations, with one important exception: When multiplying or dividing both sides of the inequality by a negative number, reverse the direction of the inequality symbol, changing the sense of the inequality.

A linear inequality : ax + b ≤ c

Solving an inequality is the process of finding the set of numbers that make an inequality a true statement.

A solution set is the set of all numbers that satisfy the inequality.

Q1. Solve and graph the solution set: 4x−7≥5.

Q2. Solve and graph the solution set: 1/3 x LESS THAN 5.

Q3. Solve and graph the solution set: −3x LESS THAN 21.

Q4. Solve and graph the solution set: 6x−12 GREATER THAN 8x+2.

Q5. Solve the three part inequality: −3 LESS THAN 2x+1≤3.

Q6. Solve: 3(x+1) GREATER T3x+5.

Q7. Solve: 2(x+5)≤5x−3x+14.