Soru

Zorluk: KolayLinear and Quadratic Inequalities

What is the solution set for the linear inequality 4−3x≥194 - 3x \ge 19?

  1. x≤−5x \le -5Cevap
  2. B
    x≥−5x \ge -5
  3. C
    x≤5x \le 5
  4. D
    x≥5x \ge 5

Cevap

x≤−5x \le -5
Subtracting 44 from both sides simplifies the inequality to −3x≥15-3x \ge 15. Dividing both sides by −3-3 requires reversing the direction of the inequality sign, yielding x≤−5x \le -5.

Adım Adım Çözüm

1
Subtract 4 from both sides of the inequality
−3x≥15-3x \ge 15
Isolate the variable term −3x-3x on the left side of the inequality.
2
Divide both sides by −3-3 and reverse the inequality direction
x≤−5x \le -5
Dividing an inequality by a negative number flips the inequality symbol from ≥\ge to ≤\le.

Anahtar Kavram

Reversing inequality signs when dividing by a negative quantity
Tahmini Süre:45s
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