Inequalities Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
Solve 4−2x≥104 - 2x \geq 10.

Solution

  1. 1
    Subtract 4 from both sides: −2x≥6-2x \geq 6.
  2. 2
    Divide by −2-2 and reverse the inequality: x≤−3x \leq -3.

Answer

x≤−3x \leq -3
Dividing by a negative number flips the inequality direction. This is the most important rule for solving inequalities.

About Inequalities

Mathematical statements that compare two expressions using symbols like <<, >>, ≤\leq, or ≥\geq, indicating that one quantity is less than, greater than, or not equal to another. Unlike equations, inequalities describe a range of possible solutions.

Learn more about Inequalities →

More Inequalities Examples

Example 1 easy

Solve [formula].

Example 2 medium

Solve [formula].

Example 3 easy

Solve [formula].

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