Answer:
A: 10.9 [tex]\geq[/tex] 10.9 -- this inequality is true
B: -1.5 [tex]\leq[/tex] -5 -- this inequality is false
Step-by-step explanation:
A: 4.7 + 6.2 [tex]\geq[/tex] 10.9 is true
In this case, you want to read the inequality as (4.7 + 6.2) is greater than or equal to 10.9. This is similar to the inequality x is greater than or equal to y, where x = (4.7 + 6.2) and y = 10.9.
4.7 + 6.2 = x = 10.9 which is equal to 10.9, thus, this inequality is TRUE
B. 4.7 - 6.2 [tex]\leq[/tex] -5 is false
This inequality is read as x = (4.7 - 6.2) = -1.5 is less than or equal to -5. On a number line, any negative number closer to 0 is greater than the number further from 0. So, -1.5 is closer to 0 than -5 on the number line thus making -1.5 greater than ([tex]\g\\[/tex] > ) -5 and not equal to -5. This equation now shows -1.5 [tex]\leq[/tex] -5 which is false.
