Question

For what integer value of x is 4x – 2 >17 and 3x +5<24 ? Help me please !!

Answer 1

Answer:

The integer values of x are 5 and 6

Step-by-step explanation:

we have

Inequality A

$4x-2>17$

solve for x

adds 2 both sides

$4x>19$

divide by 4 both sides

$x> 4.75$

solution A is the interval (4.75,∞)

Inequality B

$3x+5$

solve for x

subtract 5 both sides

$3x$

divide by 3 both sides

$x$

solution B is the interval (-∞,6.33)

The solution of the inequality A and the inequality B is

(4.75,∞) ∩  (-∞,6.33)=(4.75,6.33)

The integer values of x are 5 and 6