Question

Solve for x: 5<-4x-11<13​

Answer 1

Answer:

$- {4} < x < - 6$

Step-by-step explanation:

$5 < - 4x - 11 < 13$

Add 11 to both sides of the inequality to make - 4x stand alone

$5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24$

Divide both sides by - 4

$- \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6$

Reverse the signs

We have the final answer as

$- 4 > x > - 6$

Hope this helps you

Answer 2

Answer:

-4>x>-6

Step-by-step explanation:

to understand this

you need to know about:

• inequality
• PEMDAS

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 negative number
• swapping left and right hand side

let's solve:

$step - 1 : define$

$\sf 5 < - 4x - 11 < 13$

$step - 2 : solve$

1. $\sf add \: 11 \: to \: every \: sides : \\ \sf 5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ \sf16 < - 4x < 24$
2. $\sf \: divide \: both \: sides \: by \: - 4 \: and \: swap \: the \: inequalities : \\ \sf \sf - 4 > x > - 6$