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Popular >

2x+3>= 3x+1>x+4

Solution

2 x + 3 \geq 3 x + 1 > x + 4

Solution

\frac{3}{2} < x \leq 2

+2

Interval Notation

(\frac{3}{2}, 2]

Decimal Notation

1.5 < x \leq 2

Solution steps

2 x + 3 \geq 3 x + 1 > x + 4

If

a \geq u > b

then

a \geq u and u > b

2 x + 3 \geq 3 x + 1 and 3 x + 1 > x + 4

2 x + 3 \geq 3 x + 1 : x \leq 2

3 x + 1 > x + 4 : x > \frac{3}{2}

Combine the intervals

x \leq 2 and x > \frac{3}{2}

Merge Overlapping Intervals

\frac{3}{2} < x \leq 2

Popular Examples

-6/5 >= (5-3x)/6

- \frac{6}{5} \geq \frac{5 - 3 x}{6}

w^{2} - 49 = 0

0 = 3 x^{2} + 6 x + 1

∣ 3 - x ∣ < 4

∣ 7 x + 1 ∣ < 9

Frequently Asked Questions (FAQ)

What is 2x+3>= 3x+1>x+4 ?
The solution to 2x+3>= 3x+1>x+4 is 3/2 <x<= 2