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Zorluk: KolayLinear and Quadratic Inequalities

What is the range of values of xx that satisfies the inequality 3−2x>93 - 2x > 9?

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

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Reversing inequality signs upon multiplication or division by negative numbers
Tahmini Süre:45s
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