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Popular >

|7x-2|<= 19

Solution

∣ 7 x - 2 ∣ \leq 19

Solution

- \frac{17}{7} \leq x \leq 3

+2

Interval Notation

[- \frac{17}{7}, 3]

Decimal Notation

- 2.42857 \dots \leq x \leq 3

Solution steps

∣ 7 x - 2 ∣ \leq 19

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 19 \leq 7 x - 2 \leq 19

7 x - 2 \geq - 19 and 7 x - 2 \leq 19

x \geq - \frac{17}{7} and x \leq 3

Merge Overlapping Intervals

- \frac{17}{7} \leq x \leq 3

Popular Examples

7/6 =(k-11)/(24)

\frac{7}{6} = \frac{k - 11}{24}

simplify (-8+9i)/(-7-i)simplify

\frac{- 8 + 9 i}{- 7 - i}

factor (-4+4i)^{1/4}factor

(- 4 + 4 i)^{\frac{1}{4}}

simplify e^{2ln(5)}simplify

e^{2 l n (5)}

14 + x = - 20

Frequently Asked Questions (FAQ)

What is |7x-2|<= 19 ?
The solution to |7x-2|<= 19 is -17/7 <= x<= 3