Part A:
x=5
4x-1 ≤19
4(5)-1 ≤19
20-1 ≤19
19 ≤19
x=5
4x-1<19
4(5)-1<19
19<19
Step-by-step explanation:
In problem one the greater then symbol has a line under it, this means that the symbol now means greater then or equal to. Since 19 is equal to 19 it is correct. In problem to the greater then symbol has no line under it meaning it only means greater then. Since 19 is not greater then 19 it is false.
So basically the difference is:
≤ = greater then or equal to
< = greater then
Part B:
5x+2=47
-2 -2
5x=45
/5 /5
x=9
Step-by-step explanation:
Since when you solve the equation x=9 the value 9 from the set makes the equation.
Hope this helped :)