Question

Difficulty: EasyLinear and Quadratic Inequalities

What is the range of values of xx that satisfies the inequality 32x>93 - 2x > 9?

  1. x<3x < -3Answer
  2. B
    x>3x > -3
  3. C
    x<3x < 3
  4. D
    x>3x > 3

Answer

x<3x < -3
Subtracting 3 from both sides yields 2x>6-2x > 6. Dividing both sides by 2-2 and reversing the inequality symbol gives x<3x < -3.

Step-by-Step Solution

1
Subtract 3 from both sides of the inequality.
2x>6-2x > 6
To isolate the variable term 2x-2x on the left-hand side.
2
Divide both sides by 2-2 and reverse the inequality sign.
x<3x < -3
Dividing an inequality by a negative number requires reversing the direction of the inequality sign.

Key Concept

Reversing inequality signs upon multiplication or division by negative numbers
Estimated Time:45s
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