# Thread: Basic Arithmetic, Basic Algebra, Basic Equations

1. ## Basic Arithmetic, Basic Algebra, Basic Equations

This equation I have completely forgotten what to do! Please include the method when you solve it. -2 is less than or equal to 3x+1/4 is less than or equal to 11. Thanks heaps

2. ## Re: Basic Arithmetic, Basic Algebra, Basic Equations

$\displaystyle -2 \leq \frac{3x+1}{4}\leq 11$

What did you try to do?

3. ## Re: Basic Arithmetic, Basic Algebra, Basic Equations

Alice

revise a little bit the chapter of equations and inequalities...
in this case you have to solve two inequalities

-2less or equal(3x+1)/4 and (3x+1)/4 less thar equal to 11

in both cases apply cross multiplication to get rid off the denominator...
try it is is easy

4. ## Re: Basic Arithmetic, Basic Algebra, Basic Equations

Its not homework I'm studying for an exam and this work wasn't included in the textbook as I was overseas for 2 weeks and my teacher can't stay back to explain and during class he is busy teaching new content so I need to learn this stuff again but have no one to teach me so....

5. ## Re: Basic Arithmetic, Basic Algebra, Basic Equations

You still didn't say what you tried to do.

$\displaystyle -2 \leq \frac{3x+1}{4}\leq 11 \Leftrightarrow$

$\displaystyle \Leftrightarrow -2\cdot 4 \leq 3x+1\leq 11\cdot 4 \Leftrightarrow -8 \leq 3x+1\leq 44$

$\displaystyle \Leftrightarrow -8-1 \leq 3x \leq 44-1 \Leftrightarrow -9 \leq 3x \leq 43 \Leftrightarrow -3 \leq x \leq \frac{43}{3}$