Question

SOLVE 4x-6<-2 Help solve

Answer 1

The answer is x < 1.

Bring the constant to the other side.

• 4x - 6 < 2
• 4x < 4

Divide by 4 on both sides.

• 4x ÷ 4 < 4 ÷ 4
• x < 1

Answer 2

$\Large\texttt{Answer}$

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$\Large\texttt{Process}$

$\rm{4x-6 < -2}$

Do you remember that we need to get x by itself to find its value?

We should do this:

⇨ Add 6 to both sides

$\rm{4x-6+6 < -2+6}$

On the left hand side (lhs), the 6s add up to zero; on the right hand side (rhs), the -2 and 6 result in 4. Hence

$\rm{4x < 4}$

Now divide both sides by 4

$\rm{\cfrac{4x}{4} < \cfrac{4}{4}}$

Simplifying fractions gives us

$\rm{x < 1}$

* what this means is: numbers less than 1 will make the statement true

$\Large\texttt{Verification}$

Substitute 1 into the original inequality $\boxed{4x-6 < -2}$

$\rm{4(1)-6 < -2}$

$\rm{4-6 < -2}$

Do the arithmetic

$\rm{-2 < -2}$

Hope that helped