# How do you solve and graph -0.1<=3.4x-1.8<6.7 ?

Aug 8, 2017

Given: $- 0.1 \le 3.4 x - 1.8 < 6.7$

$1.7 \le 3.4 x < 8.5$

Divide everything by 3.4:

$\frac{1.7}{3.4} \le x < \frac{8.5}{3.4}$

Simplify the fractions:

$\frac{1}{2} \le x < \frac{5}{2}$

Graphing instructions:

Put a point on the x axis at $\frac{1}{2}$
Put a very small circle (to indicate that it is not included) on the x axis at $\frac{5}{2}$
Draw a line segment between the point and the small circle.