Question

Solve the inequality -3x + 7 > 20 .

A) x < -3
B) x > -3
C) x > 9
D) x < 9

Answer 1

To solve the inequality -3x + 7 > 20, subtract 7 from both sides and then divide by -3, reversing the inequality sign to get x < -4.33.

Step-by-step explanation:

To solve the inequality -3x + 7 > 20, first subtract 7 from both sides of the inequality to isolate the term with the variable:

• -3x + 7 - 7 > 20 - 7
• -3x > 13

Next, divide both sides by -3. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:

• -3x / -3 < 13 / -3
• x < -13 / 3
• x < -4.33

So, the solution to the inequality is that x must be less than approximately -4.33. Therefore, the correct answer is A) x < -4.33.