-2(x+1)<2 — step-by-step solution

Let's solve in

ℝ

-2 \cdot (x + 1) < 2

ⓘ Expand by multiplying each term inside the parentheses:

- 2 \cdot (x + 1)

- (2 x + 2)

- (2 x + 2) < 2

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (2 x + 2)

- 2 x - 2

- 2 x - 2 < 2

ⓘ We gather the terms in

x

on the right and the other terms on the left

- 2 - 2 < 2 x

ⓘ Start from

-2

and move back

2

more on the number line, away from zero:

- 2 - 2

-4

-4 < 2 x

ⓘ Both sides are divided by

2

x > - \frac{4}{2}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

- \frac{4}{2}

-2

▶Solution obtained:

x > -2