Let $a , b$ be real numbers. It is known that the four numbers $- 3 , - 1, 4, 7$ all satisfy the inequality $| x - a | \leq b$ in $x$. Select the correct options. (1) $\sqrt { 10 }$ also satisfies the inequality $| x - a | \leq b$ in $x$ (2) $3, 1 , - 4 , - 7$ satisfy the inequality $| x + a | \leq b$ in $x$ (3) $- \frac { 3 } { 2 } , - \frac { 1 } { 2 } , 2 , \frac { 7 } { 2 }$ satisfy the inequality $| x - a | \leq \frac { b } { 2 }$ in $x$ (4) $b$ could equal 4 (5) $a$ and $b$ could be equal
Let $a , b$ be real numbers. It is known that the four numbers $- 3 , - 1, 4, 7$ all satisfy the inequality $| x - a | \leq b$ in $x$. Select the correct options.\\
(1) $\sqrt { 10 }$ also satisfies the inequality $| x - a | \leq b$ in $x$\\
(2) $3, 1 , - 4 , - 7$ satisfy the inequality $| x + a | \leq b$ in $x$\\
(3) $- \frac { 3 } { 2 } , - \frac { 1 } { 2 } , 2 , \frac { 7 } { 2 }$ satisfy the inequality $| x - a | \leq \frac { b } { 2 }$ in $x$\\
(4) $b$ could equal 4\\
(5) $a$ and $b$ could be equal