Solve the inequality $$ -x \leq 19 $$. Write the solution set in interval notation, and graph it. The solution set is $$ \square $$.

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To solve -x ≤ 19, follow these steps:

1. Multiply both sides of the inequality by -1. Remember that when you do this, the inequality sign reverses:
  (-x)(-1) ≥ 19(-1)
  x ≥ -19

So the solution is all real numbers x that are greater than or equal to -19.

In interval notation, the solution set is:
  [-19, ∞)

Graphically, plot a number line with a filled (closed) circle at -19 and shade or draw an arrow extending to the right to indicate all values greater than -19.

The solution set is [-19, ∞).
The solution set is all real numbers $$ x $$ such that $$ x \geq -19 $$. In interval notation, this is written as $$[-19, \infty)$$.

Solve the inequality . Write the solution set in interval notation, and graph it.
The solution set is .

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Solve the inequality . Write the solution set in interval notation, and graph it. The solution set is .