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Popular >

|4(x-1)+6|<= 10

Solution

∣ 4 (x - 1) + 6 ∣ \leq 10

Solution

- 3 \leq x \leq 2

+1

Interval Notation

[- 3, 2]

Solution steps

∣ 4 (x - 1) + 6 ∣ \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq 4 (x - 1) + 6 \leq 10

4 (x - 1) + 6 \geq - 10 and 4 (x - 1) + 6 \leq 10

x \geq - 3 and x \leq 2

Merge Overlapping Intervals

- 3 \leq x \leq 2

Popular Examples

15 x - 3 > 9 x + 15

simplify 21/35 \times 16/24 simplify

\frac{21}{35} \times \frac{16}{24}

solvefor y,4x^2+9y^2=0 solve for

y, 4 x^{2} + 9 y^{2} = 0

-28t^2+99=-26t^2-99

- 28 t^{2} + 99 = - 26 t^{2} - 99

5 + x \geq 3

Frequently Asked Questions (FAQ)

What is |4(x-1)+6|<= 10 ?
The solution to |4(x-1)+6|<= 10 is -3<= x<= 2