Question

A number c increased 6 by is less than or equal to -26

Answer 1

`c\leq -32`

Explanation:

Let

c ---> the number

we know that

The number c plus 6 must be less than or equal to -26

so

The inequality that represent this situation is

`c+6\leq -26`

Solve for c

Subtract 6 both sides

`c\leq -26-6`

`c\leq -32`

The solution for c is the interval (-∞,-32]

All real numbers less than or equal to -32

In a number line, the solution is the shaded area at left of c=-32 (closed circle)

see the attached figure to better understand the problem