What is 10<= 2x-1<= x+5 ?

The solution to 10<= 2x-1<= x+5 is 11/2 <= x<= 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10<= 2x-1<= x+5

10 \leq 2 x - 1 \leq x + 5

\frac{11}{2} \leq x \leq 6

Interval Notation

[\frac{11}{2}, 6]

Decimal Notation

5.5 \leq x \leq 6

Solution steps

10 \leq 2 x - 1 \leq x + 5

a \leq u \leq b

then

a \leq u and u \leq b

10 \leq 2 x - 1 and 2 x - 1 \leq x + 5

10 \leq 2 x - 1 : x \geq \frac{11}{2}

2 x - 1 \leq x + 5 : x \leq 6

Combine the intervals

x \geq \frac{11}{2} and x \leq 6

Merge Overlapping Intervals

\frac{11}{2} \leq x \leq 6

x^{2} - 1.6 x + 0.6 = 0

y^{2} + 8 y + 15

\frac{4}{6} - (- \frac{1}{6})

y^{2} + 2 y + 1

x - 1 < 8