Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1. {x | x ≤ 2} {x | -6 ≤ x ≤ 2} {all reals}

For this case we must find the solution of the following system of inequalities:

or

Inequality 1:

We add 4 to both sides of the inequality:

We divide between 3 on both sides of the inequality:

Thus, the solution is given by all values of x less than or equal to 2.

Inequality 2:

We subtract 11 from both sides of the inequality:

We divide between 2 on both sides of the inequality:

Thus, the solution is given by all values of x greater than or equal to -6.

Thus, the solution set is given by:

(-∞, - 2] U [-6,∞)

That is, the solution set is given by all real numbers.

All real numbers

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