What is |2x-4|<=-x+3 ?

The solution to |2x-4|<=-x+3 is 1<= x<= 7/3

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|2x-4|<=-x+3

∣ 2 x - 4 ∣ \leq - x + 3

1 \leq x \leq \frac{7}{3}

Interval Notation

[1, \frac{7}{3}]

Decimal Notation

1 \leq x \leq 2.33333 \dots

Solution steps

∣ 2 x - 4 ∣ \leq - x + 3

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

1 \leq x < 2 or 2 \leq x \leq \frac{7}{3}

Merge Overlapping Intervals

1 \leq x \leq \frac{7}{3}

n^{2} + 2 n + 4 = 0

4 x^{2} = 60

y^{2} - 16 y + 64

ln (\frac{4}{5})

x^{2} - 20 = 5 x