## How do you solve absolute value inequalities step by step?

Step 1: Isolate the absolute value expression on one side of the inequality. Step 2: Solve the positive “version” of the inequality. Step 3: Solve the negative “version” of the inequality by multiplying the quantity on the other side of the inequality by −1 and flipping the inequality sign.

### What do you do when there is a number outside of an absolute value?

Solve an absolute value equation that contains a number outside the absolute value bars by algebraically moving that number to the side of the equation opposite the variable.

**Which equation has no solution 4x 2 =- 6?**

It returns only a positive value. ⇒ |4x – 2| = -6 has a negative value -6. |3x – 6| = -5 etc will not have solutions for x. Thus, the equation |4x – 2| = -6 has no solution.

**How do you solve absolute value equations with no solution?**

You begin by making it into two separate equations and then solving them separately. An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality.

## How to solve equation with two absolute values?

Isolate the expression containing absolute value function.

### How do you calculate absolute value?

Coefficients: (3,-4)

**How can an absolute value equation have no solution?**

x is negative – in this case,we drop the negative sign and take the positive value that remains.

**How do you solve equations on both sides?**

– take one from them, say the first, and rewrite it into explicit form y = f (x) For linear equation it is extremaly easy. – Use new formula f (x} in all remaining equations, in our case in the second one, and gets so: G (x, f (x)) = 0 – Solve compound equation, it is stil linear, then easy. You get x1 thisway – Calculate remaning variable y1 = f (x1)