Question

Drag the tiles to the correct boxes to complete the pairs Match each inequality to the number line that represents its solution

Answer 1

Answer:

x ≤ 7 => $- \frac{13x}{18}$ + $\frac{5}{9} \geq - \frac{9}{2}$

x ≤ 8 => -$\frac{x}{10}$ + $\frac{1}{5}$ ≥ -$\frac{33}{55}$

x ≤ -5 => - $\frac{50x}{3}$ - $\frac{11}{6}$ $\geq$ $\frac{163}{2}$

x ≤ -6 => $\frac{3x}{2}$ + 105 ≤ 96

Step-by-step explanation:

-$\frac{x}{10}$ + $\frac{1}{5}$ ≥ -$\frac{33}{55}$

$\frac{1}{5}$ + $\frac{33}{55}$ ≥ $\frac{x}{10}$ / *10

2 + 6 ≥ x

8 ≥ x

- $\frac{50x}{3}$ - $\frac{11}{6}$ $\geq$ $\frac{163}{2}$  / *6

- 100x - 11 ≥ 489

-500 ≥ 100x

-5 ≥ x

$\frac{3x}{2}$ + 105 ≤ 96

$\frac{3x}{2}$ ≤ 96 - 105  / * $\frac{2}{3}$

x ≤ -6

$- \frac{13x}{18}$ + $\frac{5}{9} \geq - \frac{9}{2}$  /*18

-13x + 10 ≥ - 81

-13x ≥ -91 /:-13

x ≥ 7