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Popular >

|4x+5|<= 10

Solution

∣ 4 x + 5 ∣ \leq 10

Solution

- \frac{15}{4} \leq x \leq \frac{5}{4}

+2

Interval Notation

[- \frac{15}{4}, \frac{5}{4}]

Decimal Notation

- 3.75 \leq x \leq 1.25

Solution steps

∣ 4 x + 5 ∣ \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq 4 x + 5 \leq 10

4 x + 5 \geq - 10 and 4 x + 5 \leq 10

x \geq - \frac{15}{4} and x \leq \frac{5}{4}

Merge Overlapping Intervals

- \frac{15}{4} \leq x \leq \frac{5}{4}

Popular Examples

8 x - 9 = 11 x + 12

simplify 1/2-3/10 simplify

\frac{1}{2} - \frac{3}{10}

factor 4m^2+8m-5 factor

4 m^{2} + 8 m - 5

simplify (7^{10})/(7^2)simplify

\frac{7 ^{10}}{7 ^{2}}

9 \geq \frac{m}{14}

Frequently Asked Questions (FAQ)

What is |4x+5|<= 10 ?
The solution to |4x+5|<= 10 is -15/4 <= x<= 5/4