205<-5(7v-6) — step-by-step solution

Let's solve in

ℝ

-5 \cdot (7 v - 6) > 205

ⓘ Expand by multiplying each term inside the parentheses:

- 5 \cdot (7 v - 6)

- (35 v - 30)

- (35 v - 30) > 205

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

- (35 v - 30)

- 35 v + 30

- 35 v + 30 > 205

ⓘ We gather the terms in

v

on the right and the other terms on the left

30 - 205 > 35 v

ⓘ Start from

30

and move back

205

on the number line, going below zero:

30 - 205

-175

-175 > 35 v

ⓘ Both sides are divided by

35

v < - \frac{175}{35}

We divide the numerator and denominator of

\frac{175}{35}

by the common factor:

35

, which gives the new expression:

5

▶Solution obtained:

v < -5