Inequalities

Is a > b? (1) a − b > 0. (2) a² > b².

Is x negative? (1) x 3 ( 1 − x 2 ) < 0 x 3 ( 1 − x 2 ) < 0 (2) x 2 − 1 < 0 x 2 − 1 < 0

If a < x < b and c < y < d, is x < y ? (1) a < c (2) b < c

Is x - y > r - s ? (1) x > r and y < s (2) y = 2, s = 3, r = 5, and x = 6 PS21276

Is x^2 – y^2 a positive number? (1) x – y is a positive number. (2) x + y is a positive number. DS48302.01 Show Spoiler

If x is an integer, what is the value of x? (1) –2(x + 5) < -1 (2) – 3x > 9

If y ≠ 0 and y ≠ -1, which is greater, x/y or x/(y + 1) ? (1) ? (1) x ≠ 0. (2) x > y.

If x ≠ 0, is |x| < 1 ? (1) x^2 < 1 (2) |x| < 1/x

Is x less than y? (1) x - y + 1 < 0 (2) x - y - 1 < 0 DS26402.01

If x is equal to one of the numbers 1 4 1 4 , 3 8 3 8 , or 2 5 2 5 , what is the value of x? (1) 1 4 <x< 1 2 1 4 < 𝑥 < 1 2 (2) 1 3 <x< 3 5 1 3 < 𝑥 < 3 5

If a, b, and c are integers, is a - b + c greater than a + b - c? (1) b is negative (2) c is positive

If x and yare positive, is x/y greater than 1 ? (1) xy > 1 (2) x - y > 0

Is x > 0? (1) -2x > 0 (2) x^3 < 0

If xy < 3, is x < 1? (1) y > 3 (2) x < 3

What is the value of the positive integer n ? (1) n^4 < 25 (2) n≠ n 2 𝑛 ≠ 𝑛 2

If x and y are integers and y = |x + 3| + |4 - x|, does y equal 7? (1) x < 4 (2) x > -3

If 1 < d < 2, is the tenths’ digit of the decimal representation of d equal to 9? (1) d + 0.01 < 2 (2) d + 0.05 > 2 DS97602.01

If x+y+z>0 𝑥 + 𝑦 + 𝑧 > 0 , is z>1 𝑧 > 1 ? (1) z>x+y+1 𝑧 > 𝑥 + 𝑦 + 1 (2) x+y+1<0 𝑥 + 𝑦 + 1 < 0 DS18602.01

Is x greater than 1.8? (1) x > 1.7 (2) x > 1.9

Is z less than 0? (1) xy > 0 and yz < 0. (2) x > 0