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

y>2x-5 , y≤-3x+8
Simplify the first inequality.
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
Simplify the second inequality.
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

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