Respuesta :

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

Good morning ☕️

Answer:

(-∞ , -3]

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

[tex]2z+4\leq -2\\\\means\\\\2z\leq -2-4\\\\then\\\\2z\leq-6[/tex]

>step 2: divide both sides by 2

[tex]2z\leq-6\\\\then\\\\z\leq-3[/tex]

>Interval notation :

(-∞ , -3]

:)