|x+7x|<= 3 — step-by-step solution

Let's solve in

ℝ

| x + 7 x | \leq 3

ⓘ Like terms are grouped by adding their coefficients:

x + 7 x

8 x

| 8 x | \leq 3

| A | \leq B

is equivalent to

- B \leq A \leq B

-3 \leq 8 x \leq 3

We divide all three parts by

8

, which is positive

- \frac{3}{8} \leq x \leq \frac{3}{8}

▶Solution obtained:

x \in [- \frac{3}{8}, \frac{3}{8}]

The numeric value of:

x \in [- \frac{3}{8}, \frac{3}{8}]

equals:

▷

x \in [-0.375, 0.375]