4x + y >= 41. 4x + y>4

y >= -4x + 4

this is a straight line with slope -4 and y-intercept 4. we want all values above this line. see graph1 below

3x - 4y < 122. 3x - 4y < 12

-4y < -3x + 12

y > (3/4)x - 3 .........since i divided both sides by a negative number, i turn around the inequality sign

now this is a line with slope 3/4 and y-intercept -3. we want all values above that line. see graph2 below

at least means you have greater than or equal to. a dime is 10cents, or $0.10, a quarter is 25 cents or $0.253. You haveat least$30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.

let x be the number of dimes in the drawer

let y be the number of quarters in the drawer, then

0.10x + 0.25y >= 30