Solve - 5(u - 19) <= - 6 + 2u | 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

$$-5(u-19)\le-6+2u$$

Solve for u

$u\geq \frac{101}{7}$

Solution Steps

Use the distributive property to multiply $-5$ by $u-19$.

$$-5u+95\leq -6+2u$$

Subtract $2u$ from both sides.

$$-5u+95-2u\leq -6$$

Combine $-5u$ and $-2u$ to get $-7u$.

$$-7u+95\leq -6$$

Subtract $95$ from both sides.

$$-7u\leq -6-95$$

Subtract $95$ from $-6$ to get $-101$.

$$-7u\leq -101$$

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

$$u\geq \frac{-101}{-7}$$

Fraction $\frac{-101}{-7}$ can be simplified to $\frac{101}{7}$ by removing the negative sign from both the numerator and the denominator.

$$u\geq \frac{101}{7}$$