Question

The table shows the steps for solving the given inequality for x.

Answer 1

-6 + 4x < x +3       : Distributive property

-6 + 3x < 3           : Subtraction property of inequality

3x < 9                  : Addition property of inequality

x  <3                    : Division property of inequality

Answer 2

Answer:

$-2(3-2x)$ Given,

$-6+4x$: Distributive property,

$-6+3x$: Subtraction property of order,

$3x$: Addition property of order,

$x$: Division property of order.

Step-by-step explanation:

We have been given an inequality. We are asked to match each step for solving the equation with reason.  

$-2(3-2x)$

Using distributive property, we will get:

$-2\cdot3-(-2)\cdot2x$

$-6+4x$

Subtract x from both sides:

$-6+4x-x$

$-6+3x$

Add 6 on both sides:

$-6+6+3x$

$3x$

Divide both sides by 3:

$\frac{3x}{3}$

$x$