representing the number on number line a < -1/2
The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence.
given that
4(2a+3)<7-2a
firstly solve the equation so now multiply 4 with 2a and 3 .
8a + 12<7-2a
then move -2a to the left side and +12 to right side. then -2a changes to +2a and +12 changes to -12
8a + 2a < - 12 + 7
now add the values on both sides
10a < - 5
now divide the both sides by 10
[tex] \frac{10}{10} a < - \frac{5}{10} [/tex]
[tex]a < - \frac{1}{2} [/tex]
so ,
[tex]a < - \frac{1}{2} [/tex]
Learn more about number line, refer :
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