Question

Solve the inequality $2x \ge -10.$ Give your answer in interval notation.

Answer 1

Answer:
`[ -5, \infty )`

This is the interval from -5 to positive infinity.

We start at -5 as the left endpoint. The right endpoint is positive infinity ro simply infinity. Technically there is no endpoint on the right as this interval goes forever to the right. The left endpoint is included which is why a square bracket is used. Always use curved parenthesis with positive or negative infinity.

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Explanation:

To get this answer, simply divide both sides by 2 to go from
`2x \ge -10` to
`x \ge -5`; the second inequality describes all x values that are -5 or larger. Once you get the inequality
`x \ge -5` you would convert that to interval notation.