What is 3<= 3x-4<= 2x+1 ?

The solution to 3<= 3x-4<= 2x+1 is 7/3 <= x<= 5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3<= 3x-4<= 2x+1

3 \leq 3 x - 4 \leq 2 x + 1

\frac{7}{3} \leq x \leq 5

Interval Notation

[\frac{7}{3}, 5]

Decimal Notation

2.33333 \dots \leq x \leq 5

Solution steps

3 \leq 3 x - 4 \leq 2 x + 1

a \leq u \leq b

then

a \leq u and u \leq b

3 \leq 3 x - 4 and 3 x - 4 \leq 2 x + 1

3 \leq 3 x - 4 : x \geq \frac{7}{3}

3 x - 4 \leq 2 x + 1 : x \leq 5

Combine the intervals

x \geq \frac{7}{3} and x \leq 5

Merge Overlapping Intervals

\frac{7}{3} \leq x \leq 5

x^{2} - \frac{1}{4} x + \frac{1}{64}

\frac{\frac{7}{4}}{( - \frac{3}{2} )}

\frac{6 i}{1 - i}

n - 19 = - 22

x^{2} + 34 = 10 x