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3 years ago

2z+4≤−2 interval notation

Mathematics

2 answers:

Leni [432]3 years ago

4 0

Good morning ☕️

Answer:

Step-by-step explanation:

NOTE:__________________________________________________

in order to solve inequality like this we need to isolate the variable z and that’s what we will do in the next few steps___________________

>step 1: subtract 4 from both sides

$2z+4\leq -2\\\\means\\\\2z\leq -2-4\\\\then\\\\2z\leq-6$

>step 2: divide both sides by 2

$2z\leq-6\\\\then\\\\z\leq-3$

>Interval notation :

(-∞ , -3]

JulijaS [17]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Given

2z + 4 ≤ - 2 ( subtract 4 from both sides )

2z ≤ - 6 ( divide both sides by 2 )

z ≤ - 3

solution is x ∈ ( - ∞, - 3 ]

The parenthesis on the left means that x cannot equal - ∞

The ] on the right means that x can equal - 3

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