What is the answer to |a-5|=5-a ?

The answer to |a-5|=5-a is a<= 5

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|a-5|=5-a

∣ a - 5 ∣ = 5 - a

a \leq 5

Solution steps

∣ a - 5 ∣ = 5 - a

Find positive and negative intervals

a < 5, a \geq 5

Solve the inequality for each interval

a < 5 or a = 5

Merge Overlapping Intervals

a \leq 5

\frac{x ^{2}}{2} - \frac{3 x}{20} = \frac{1}{5}

∣ 5 x + 1 ∣ = ∣ 8 x + 4 ∣

3 x^{2} - 12 x - 9

∣ x - 4 ∣ < 1

\frac{x - 2}{6} \geq \frac{x - 1}{9} + \frac{7}{18}