Answer

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**Hint:**In the given problem $4x-2<10$ write $'='$ equal to one the place of $'<'$ less than symbol.

Then solve the modified equation. Add $'2'$ on both sides i.e. left side and right side. And now divide both sides by $'4'$ and at least replace $'='$ equal sign by less than $'<'$ sign.

**Complete step by step solution:**As per the given question,

$x-2<10$ given equation. Write $'='$ equal to one the place of $'<'$ less than symbol. Therefore the modified equation will be this form.

$4x-2=10$

Add $'2'$ on both sides i.e. left side and right side.

$4x-2+2=10+2$

Here, on the left side $'-2'$ and $'+2'$ will get canceled.

$\therefore 4x=12$

$'4'$ which is in multiplication with $'x'$ shift to right side and the multiplication get converted into division.

$x=\dfrac{12}{4}$

As you divide $12$ by $4.$

The value of $x$ will be, as $4\times 3=12$

$x=3...(i)$

Again replace $'='$ sign by $'<'$ less than sign, in equation $(i)$

$\therefore x<3$

In this way you can solve $4x-2<10$

**Additional Information:**

Linear equation: An equation for a straight line is called a linear equation. The general representation of the straight line equation is $y=mx+b,$ where $m$ is slope of line and $b$ is the $y$-intercept. Linear equations are those equations that are of the first order. These equations are defined for lines in the coordinate system. The number $'m'$ and $'b'$ give the slope of the line $(m)$ and the value of $y$ when $x$ is $0(b).$ The value of $y$-intercept because $\left( 0,y \right)$ is the point at which the line crosses the $y$-axis.

**Note:**

Replace $'<'$ by $'='$ equal to sign in the given linear equation. Five forms of linear equation:

(1) General form

(2) Slope intercept form

(3) Point form

(4) Intercept form

(5) Two point form.

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