Question

What is the solution set for
−4x + 10 ≥ 5x + 55?

Answer 1

Answer:

x={.......,-5}

Step-by-step explanation:

-4x+10>= 5x+ 55

= 10-55>=5x +4x

= -45>= 9x

= -5>= x

Answer 2

The answer is x ∈ ( − ∞, − 5].

Given,

− 4x + 10 ≥ 5x + 55

To Find,

Solution set

Solution,

It has been given to us that,

− 4x + 10 ≥ 5x + 55

This is called a linear inequation in a single variable.

We need to shift like terms to one side to solve this type of expression.

− 4x + 10 ≥ 5x + 55

− 4x + 10 − 5x ≥ 55

− 4x − 5x ≥ 55 − 10

− 9x ≥ 45

Now we will multiply the whole equation with the minus sign which will change the sign of inequality.

9x ≤ − 45

x ≤ − 45/9

x ≤ − 5

x ∈ ( − ∞, − 5]

Hence the answer is x ∈ ( − ∞, − 5].

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