Solve for x 4.6>x+3/4

$4.6 > x + \frac{3}{4}$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$x + \frac{3}{4} < 4.6$

Step 2

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

Subtract $\frac{3}{4}$ from both sides of the inequality.

$x < 4.6 - \frac{3}{4}$

To write $4.6$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$x < 4.6 \cdot \frac{4}{4} - \frac{3}{4}$

Combine $4.6$ and $\frac{4}{4}$ .

$x < \frac{4.6 \cdot 4}{4} - \frac{3}{4}$

Combine the numerators over the common denominator.

$x < \frac{4.6 \cdot 4 - 3}{4}$

Simplify the numerator.

Multiply $4.6$ by $4$ .

$x < \frac{18.4 - 3}{4}$

Subtract $3$ from $18.4$ .

$x < \frac{15.4}{4}$

Divide $15.4$ by $4$ .

$x < 3.85$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 3.85$

Interval Notation:

$(- \infty, 3.85)$