The correct answers are:
#1) Graph I; #2) Graph O; #3) Graph C; #4) Graph E; #5) Graph N; #6) Graph G; #7) Graph M; #8) Graph H; #9) Graph T; #10) Graph S; #11) Graph P; #12) Graph A
He got a pane in his stomach.
Explanation:
#1) We want a graph where -4 is circled and not filled in, and -1 is circled and filled in; from -4, the graph goes to the right and from -1 it goes to the left, meeting between the two numbers and not extending further. This is graph I.
#2) Solving the first inequality, we subtract 4 from each side; this gives us x > -1. Solving the second inequality, we add 2 to each side; this gives us x < 4. We want a graph where -1 is circled and not filled in, and 4 is circled and not filled in, with the line shaded between them. This is graph O.
#3) We want a graph where -2 is circled and filled in and 3 is circled and not filled in; from -2, the graph is shaded left and from 3 the graph is shaded right. This is graph C.
#4) Solving the first inequality, divide both sides by -3; this gives us t<-4 (remember we flip the symbol when we divide by a negative number). Solving the second inequality, divide both sides by 5; this gives us t≥2. We want a graph where -4 is circled and not filled in, and 2 is circled and filled in; from -4 the graph is shaded left and from 2 the graph is shaded right. This is graph E.
#5) Solving the first inequality, subtract 5 from each side; this gives us 2n > -4. Divide both sides by 2; this gives us n>-2. Solving the second inequality, subtract 4 from each side; this gives us 3n>3. Divide both sides by 3, and we have n>1. This is and; this means we want an inequality showing n>-2 and n>1. It has to be true for both numbers; this means we want a graph of n>1. We want the number 1 circled and not filled in, and the graph shaded to the right; this is graph N.
#6) Solving the first inequality, subtract 9 from each side; this gives us -4u>-8. Divide both sides by -4, giving us u<2. Solving the second inequality, add 13 to each side; this gives us 7u≤7. Divide both sides by 7; this gives us u≤1. We want a graph showing that u<2 and u≤1; this means we want to go from the smaller number, so we want a graph of u≤1. We want a graph where 1 is circled and filled in, and the line is shaded to the left; this is graph G.
#7) Solving the first inequality, subtract 20 from each side; this gives us 12≤3x, or 3x≥12. Divide both sides by 3 and we have x≥4. Solving the second inequality, subtract 1 from each side; this gives us 16>-8x, or -8x<16. Divide both sides by -8, and we have x>-2. We want a graph where 4 is circled and filled in and -2 is circled and not filled in; since this is "or" we include both answers. This means everything from -2 to the right is shaded; this is graph M.
#8) Solving the first inequality, subtract 8 from each side; this gives us -2k<6. Divide both sides by -2 and we have k>-3. Solving the second inequality, subtract 1 from each side; this gives us 3k<0. Divide both sides by 3 and we have k<0. We want a graph where -3 is circled and not filled in and 0 is circled and not filled in; this is "or" so we include both possibilities. Everything greater than -3 is shaded to the right and everything less than 0 is shaded to the left; this means everything is shaded, or graph H.
#9) Solving the first inequality, divide both sides by 5; this gives us w+4≥1. Subtract 4 from each side and we have w≥-3. Solving the second inequality, divide both sides by 2; this gives us w+4<6. Subtract 4 from each side and we have w<2. We want a graph where -3 is circled and filled in and 2 is circled and not filled in, with everything between them shaded; this is graph T.
#10) Solving the first inequality, divide both sides by 3; this gives us 6-y≤2. Subtract 6 from both sides; this gives us -y≤-4. Divide both sides by -1 and we have y≥4. Solving the second inequality, subtract 6 from both sides; this gives us -y≥2. Divide both sides by -1 and we have y≤-2. There is no way to graph everything that is larger than a positive and less than a negative at the same time, so this is graph S, the empty set.
#11) Solving the first inequality, subtract 2x from each side; this gives us x<-3. Solving the second inequality, subtract 4x from each side; this gives us 3x>-9. Divide both sides by 3 and we have x>-3. We want a graph where -3 is circled and not filled in, and everything on both sides is shaded; this is graph P.
#12) To solve first equation, multiply both sides by 2; this gives us x≤-4. To solve the second equation, multiply both sides by -2; this gives us x≤0. We want everything less than or equal to -4 or less than or equal to 0; this means we want everything smaller than 0, with 0 filled in. This is graph A.
this is a algebra pizzazz question what happened to the glass blower who inhaled
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