Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the inequality,
4-3(2-x) < 10+x.

Solve the inequality, $4-3(2-x)<10+x$ .

View step-by-step help

View step-by-step help

Solve advanced linear inequalities

Full solution

Q. Solve the inequality,

4-3(2-x)<10+x

.

Distribute $-3$ : Distribute $-3$ across the terms inside the parentheses: $4 - 3(2-x) = 4 - 6 + 3x$ .
Combine like terms: Combine like terms on the left side of the inequality: $4 - 6 + 3x = -2 + 3x$ .
Rewrite inequality: Rewrite the inequality with the simplified left side: $-2 + 3x < 10 + x$ .
Subtract $x$ : Subtract $x$ from both sides to get all $x$ terms on one side: $-2 + 3x - x < 10 + x - x$ .
Combine like terms: Combine like terms: $-2 + 2x < 10$ .
Add to isolate term: Add $2$ to both sides to isolate the term with $x$ : $-2 + 2 + 2x < 10 + 2$ .
Combine like terms: Combine like terms: $2x < 12$ .
Divide to solve: Divide both sides by $2$ to solve for $x$ : $\frac{2x}{2} < \frac{12}{2}$ .
Simplify inequality: Simplify the inequality: $x < 6$ .

More problems from Solve advanced linear inequalities

Question

-2 x+b y=59

\newline

5 x-y=1

\newline

If the system of equations has exactly one solution

(x, y)

x=2

, what is the value of

b

Posted 2 months ago

Question

\newline

\frac{\sqrt[3]{2}}{\sqrt[3]{-128}}=

Posted 6 days ago

Question

\newline

\frac{\sqrt[4]{2}}{\sqrt[4]{162}}=

Posted 3 months ago

Question

\newline

\sqrt[5]{-16} \cdot 2^{\frac{1}{5}}=

Posted 2 months ago

Question

y

\newline

\begin{array}{l} \frac{y-1}{3 y+7}=\frac{1}{10} \\ y=\square \end{array}

Posted 3 months ago

Question

x

\newline

Your answer must be simplified.

\newline

-30<\frac{x}{-4}

Posted 2 months ago

Question

x

\newline

Your answer must be simplified.

\newline

-36+x<8

Posted 2 months ago

Question

x

\newline

Your answer must be simplified.

\newline

2 x<15

Posted 3 months ago

Question

x

\newline

Your answer must be simplified.

\newline

x-6 \leq 3

Posted 1 month ago

Question

x

\newline

Your answer must be simplified.

\newline

7>\frac{x}{4}

Posted 3 months ago