Enter the solution to the inequality in the box
5+2(x−4)+3x≤12

First, subtract 5 from both sides of the equation:

2(x-4) + 3x ≤ 12 -5

Then use distributed property for 2(x-4) and add 8 to each side of the equation:

2x - 8 + 3x ≤ 7
       2x +3x ≤ 7+8

Now we can combine both x's:
       
               5x ≤ 15

Finally, divide both sides by 5 to completely isolate x:
 
                 x ≤ 3

Hope this helps!

75 units²

Step-by-step explanation:

Bigger rectangle: length * width

                           : 10 * 9

                           : 90 units²

smaller rectangle: length * width

                             : 3 * 5

                             : 15 units²

Shaded region = Bigger rectangle - smaller rectangle

                         =     90 units²      -     15 units²

                         =        75 units²