y>2x-5 , y≤-3x+8

Rewrite so x is on the left side of the inequality.

2x-5<y and y≤-3x+8

Add 5 to both sides of the inequality.

2x<y+5 and y≤-3x+8

Divide each term by 2 and simplify.

Divide each term in 2x<y+5 by 2.

2×2<y2+52 and y≤-3x+8

Cancel the common factor of 2.

Cancel the common factor.

2×2<y2+52 and y≤-3x+8

Divide x by 1.

x<y2+52 and y≤-3x+8

x<y2+52 and y≤-3x+8

x<y2+52 and y≤-3x+8

x<y2+52 and y≤-3x+8

Rewrite so x is on the left side of the inequality.

x<y2+52 and -3x+8≥y

Subtract 8 from both sides of the inequality.

x<y2+52 and -3x≥y-8

Divide each term by -3 and simplify.

Divide each term in -3x≥y-8 by -3. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

x<y2+52 and -3x-3≤y-3+-8-3

Cancel the common factor of -3.

Cancel the common factor.

x<y2+52 and -3x-3≤y-3+-8-3

Divide x by 1.

x<y2+52 and x≤y-3+-8-3

x<y2+52 and x≤y-3+-8-3

Simplify each term.

Move the negative in front of the fraction.

x<y2+52 and x≤-y3+-8-3

Dividing two negative values results in a positive value.

x<y2+52 and x≤-y3+83

x<y2+52 and x≤-y3+83

x<y2+52 and x≤-y3+83

x<y2+52 and x≤-y3+83

2x-5and+y

Find the Intersection (and) y>2x-5 , y<=-3x+8