It’s a or 1/4 beacuse only one part of it is shaded in
"two less than 3/2 of a number (x) is no more than 5 1/2"
3/2x-2</5 1/2 (</ means less than or equal to)
simplify
1.5x-2 </5.5
+2 both sides
1.5x</7.5
÷1.5 both sides
x</5
circle is closed
arrow is to the left
(1st number line )
"the sum of two times a number (x) and -2 is at least 8"
2x+-2>/8 (>/ means greater than or equal to)
2x-2>/8
+2 both sides
2x>/10
÷2 both sides
x>/5
circle is closed
arrow is to the right
(4th number line)
"seven subtracted from 4 times a number (x) is more than 13"
4x-7>13
+7 both sides
4x>20
÷4 both sides
x>5
circle is open
arrow is to the right
(2nd number line)
"four added to 3 times a number (x) is less than 19"
3x+4 <19
-4 both sides
3x <15
÷3 both sides
x <5
circle is open
arrow is to the right
(3rd number line)
B) {x|x ∈ U and 2x is prime}
x is greater than 1.
the only even prime number is 2
2 times anything is even.
the minimum x value is 2. 2x is 4, therefore higher than the only even number
every value 2x will have a multiple of 2 so it will not be prime.
