Convert to Interval Notation x-4<2 or 4x-1>4

$x - 4 < 2$ or $4 x - 1 > 4$

Move all terms not containing $x$ to the right side of the inequality.

Add $4$ to both sides of the inequality.

$x < 2 + 4$ or $4 x - 1 > 4$

Add $2$ and $4$ .

$x < 6$ or $4 x - 1 > 4$

Simplify the second inequality.

Move all terms not containing $x$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$x < 6$ or $4 x > 4 + 1$

Add $4$ and $1$ .

$x < 6$ or $4 x > 5$

Divide each term in $4 x > 5$ by $4$ and simplify.

Divide each term in $4 x > 5$ by $4$ .

$x < 6$ or $\frac{4 x}{4} > \frac{5}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$x < 6$ or $\frac{4 x}{4} > \frac{5}{4}$

Divide $x$ by $1$ .

$x < 6$ or $x > \frac{5}{4}$

The union consists of all of the elements that are contained in each interval.

All real numbers

Convert the inequality to interval notation.

$(- \infty, \infty)$