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Popular >

|7t-4|<= 10

Solution

∣ 7 t - 4 ∣ \leq 10

Solution

- \frac{6}{7} \leq t \leq 2

+2

Interval Notation

[- \frac{6}{7}, 2]

Decimal Notation

- 0.85714 \dots \leq t \leq 2

Solution steps

∣ 7 t - 4 ∣ \leq 10

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 10 \leq 7 t - 4 \leq 10

7 t - 4 \geq - 10 and 7 t - 4 \leq 10

t \geq - \frac{6}{7} and t \leq 2

Merge Overlapping Intervals

- \frac{6}{7} \leq t \leq 2

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(\frac{10}{3})^{2}

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(3^{\frac{2}{3}} \cdot 5^{\frac{1}{4}})^{6}

Frequently Asked Questions (FAQ)

What is |7t-4|<= 10 ?
The solution to |7t-4|<= 10 is -6/7 <= t<= 2