solve (x + 2 < 5) ∩ (x - 7 > -6).
{x | 1 < x < 3}
{x | x < 3 or x > 1}
{all real numbers}

For this case we must find the solution set of the given inequalities:

Inequality 1:

Subtracting 2 from both sides of the inequality we have:

Thus, the solution is given by all values of x less than 3.

Inequality 2:

Adding 7 to both sides of the inequality we have:

Thus, the solution is given by all values of x greater than 1.

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

All real numbers

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.