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Popular >

|8-4x|<= 1

Solution

∣ 8 - 4 x ∣ \leq 1

Solution

\frac{7}{4} \leq x \leq \frac{9}{4}

+2

Interval Notation

[\frac{7}{4}, \frac{9}{4}]

Decimal Notation

1.75 \leq x \leq 2.25

Solution steps

∣ 8 - 4 x ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq 8 - 4 x \leq 1

8 - 4 x \geq - 1 and 8 - 4 x \leq 1

x \leq \frac{9}{4} and x \geq \frac{7}{4}

Merge Overlapping Intervals

\frac{7}{4} \leq x \leq \frac{9}{4}

Popular Examples

simplify (3^5)/(3^5)simplify

\frac{3 ^{5}}{3 ^{5}}

factor 24xy-192x-42y^{(2)}+336y factor

24 x y - 192 x - 42 y^{(2)} + 336 y

-(1+7x)-6(-7-x)=36

- (1 + 7 x) - 6 (- 7 - x) = 36

simplify (21a+14)/(49a)simplify

\frac{21 a + 14}{49 a}

8 x^{2} - 2 x - 18 = - 15

Frequently Asked Questions (FAQ)

What is |8-4x|<= 1 ?
The solution to |8-4x|<= 1 is 7/4 <= x<= 9/4