Which inequality is true for all real numbers? Check all that apply.a – b d, then a– c < a – dIf a < b, then a < b + c

Adding the same number to both sides of an inequality preserves its direction. So if a ≥ b, then a + c ≥ b + c, making C always true. If c > d, subtracting them from a reverses the inequality: −c < −d; adding a gives a − c < a − d, so D is always true. A, B, and E can fail for some real-number values.

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