Solve - 6(1 - 7v) <= 288 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-6(1-7v)\le288$$

Solve for v

$v\leq 7$

Solution Steps

Divide both sides by $-6$. Since $-6$ is negative, the inequality direction is changed.

$$1-7v\geq \frac{288}{-6}$$

Divide $288$ by $-6$ to get $-48$.

$$1-7v\geq -48$$

Subtract $1$ from both sides.

$$-7v\geq -48-1$$

Subtract $1$ from $-48$ to get $-49$.

$$-7v\geq -49$$

Divide both sides by $-7$. Since $-7$ is negative, the inequality direction is changed.

$$v\leq \frac{-49}{-7}$$

Divide $-49$ by $-7$ to get $7$.

$$v\leq 7$$