en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|7x-2|<= 12

Solution

∣ 7 x - 2 ∣ \leq 12

Solution

- \frac{10}{7} \leq x \leq 2

+2

Interval Notation

[- \frac{10}{7}, 2]

Decimal Notation

- 1.42857 \dots \leq x \leq 2

Solution steps

∣ 7 x - 2 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq 7 x - 2 \leq 12

7 x - 2 \geq - 12 and 7 x - 2 \leq 12

x \geq - \frac{10}{7} and x \leq 2

Merge Overlapping Intervals

- \frac{10}{7} \leq x \leq 2

Popular Examples

join-(7pi)/6+2pi join

- \frac{7 π}{6} + 2 π

simplify 6^3 simplify

6^{3}

factor 27-64u^3 factor

27 - 64 u^{3}

8 (4 - x) = 7 x + 2

simplify (a+b)/(a^2+2ab+b^2)simplify

\frac{a + b}{a ^{2} + 2 ab + b ^{2}}

Frequently Asked Questions (FAQ)

What is |7x-2|<= 12 ?
The solution to |7x-2|<= 12 is -10/7 <= x<= 2