Mathematics: What is the value of b and the missing symbol in jamilla’s inequality?

$ 36.00 x 18 % = $ 6.48 $ 36.00 plus $ 6.48 = $ 42.48...

What is the value of b and the missing symbol in

mmpinkortizov5n3y

13.01.2022

$b=1, \geq$

Step-by-step explanation:

we know that

The absolute value function has two solutions

Observing the graph

the solutions are

$x\geq 1$ and $x\leq -3$

First solution (case positive)

assume the symbol of the first solution and then compare the results

$\left|x+b\right|\ge2$

$(x+b)\ge2$

$x\ge2-b$

$2-b=1\\b=2-1\\ b=1$

Second solution (case negative)

$-(x+b)\ge2$

Multiply by -1 both sides

$(x+b)\leq-2$

substitute the value of b and compare the results

$(x+1)\leq-2$

$x\leq-2-1$

$x\leq-3$ -------> is correct

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