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Dmitry_Shevchenko [17]
3 years ago
7

2z+4≤−2 interval notation

Mathematics
2 answers:
Leni [432]3 years ago
4 0

Good morning ☕️

Answer:

<h2>(-∞ , -3]</h2>

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___________________

<u><em>>step 1:</em></u> <u><em>subtract 4 from both sides </em></u>

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

<u><em>>step 2: </em></u><u><em>divide both sides by 2</em></u>

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

<u><em>>Interval notation : </em></u>

(-∞ , -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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