Question

Solve for

Answer 1

Answer:

$\huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}$

Step-by-step explanation:

to understand this

you need to know about:

• inequality
• equation
• PEMDAS

given:

• $\text{4x + 6 < 2x + 1}$

to find:

• $\text{x}$

tips and formulas:

the direction of inequality does not change

when you

• Add (or subtract) a number from both sides
• Multiply (or divide) both sides by a positive number
• Simplify a side

the direction of inequality does change

when you

• Multiply (or divide) both sides by a negative number
• Swapping left and right hand sides

let's solve:

$step - 1 : define$

$4x + 6 < 2x + 1$

$step - 2 : solve \: for \: x$

1. $\tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5$
2. $\tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5$
3. $\tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2}$