Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve and graph the solution on a number line: $x - 2x -1 < 3$

View step-by-step help

View step-by-step help

Solve two-step linear inequalities

Full solution

Q. Solve and graph the solution on a number line:

x - 2x -1 < 3

Combine Like Terms: Combine like terms: $x - 2x - 1 < 3$ . $-1x - 1 < 3$
Addition to Isolate Variable: Add $1$ to both sides to isolate the variable term: $-x - 1 + 1 < 3 + 1$ . $-x < 4$
Multiplication to Solve: Multiply both sides by $-1$ to solve for $x$ , remembering to reverse the inequality sign because we're multiplying by a negative number: $-1(-x) > -1(4)$ . $\newline$ $x > -4$
Graph the Solution: Graph the solution on a number line, with an open circle at $-4$ and shading to the right.

More problems from Solve two-step 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