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Popular >

|5x-3|<= 7

Solution

∣ 5 x - 3 ∣ \leq 7

Solution

- \frac{4}{5} \leq x \leq 2

+2

Interval Notation

[- \frac{4}{5}, 2]

Decimal Notation

- 0.8 \leq x \leq 2

Solution steps

∣ 5 x - 3 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq 5 x - 3 \leq 7

5 x - 3 \geq - 7 and 5 x - 3 \leq 7

x \geq - \frac{4}{5} and x \leq 2

Merge Overlapping Intervals

- \frac{4}{5} \leq x \leq 2

Popular Examples

factor 17m^3n^3-51m^2n^2+85mn factor

17 m^{3} n^{3} - 51 m^{2} n^{2} + 85 mn

factor 8w^2-2v+wv-16w factor

8 w^{2} - 2 v + w v - 16 w

4(x-2)-5(2x-6)=8(x+1)-3(2x+3)

4 (x - 2) - 5 (2 x - 6) = 8 (x + 1) - 3 (2 x + 3)

simplify 64/3-32 simplify

\frac{64}{3} - 32

factor v^2-10v+25 factor

v^{2} - 10 v + 25

Frequently Asked Questions (FAQ)

What is |5x-3|<= 7 ?
The solution to |5x-3|<= 7 is -4/5 <= x<= 2